math hw 2

The Binomial Distribution



pls help me with my homework!!


thanks,

Math Hw 2The Binomial Distributionpls Help Me With My Homework!!thanks,

Answers

Answer 1

Using the binomial distribution, we have that:

a) The distribution is given by:

P(X = 0) = 0.0625.P(X = 1) = 0.25.P(X = 2) = 0.375.P(X = 3) = 0.25.P(X = 4) = 0.0625.

b) 0.3125 = 31.25%.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem, we have that:

There are 4 children, hence n = 4.Each children has a 50% chance of being female, hence p = 0.5.

The distribution is given by the probability of each outcome, hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.5)^{0}.(0.5)^{4} = 0.0625[/tex]

[tex]P(X = 1) = C_{4,1}.(0.5)^{1}.(0.5)^{3} = 0.25[/tex]

[tex]P(X = 2) = C_{4,2}.(0.5)^{2}.(0.5)^{2} = 0.375[/tex]

[tex]P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25[/tex]

[tex]P(X = 4) = C_{4,4}.(0.5)^{4}.(0.5)^{0} = 0.0625[/tex]

The probability of at least 3 daughters is given by:

[tex]P(X \geq 3) = P(X = 3) + P(X = 4) = 0.25 + 0.0625 = 0.3125[/tex].

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1


Related Questions

Football boot sizes of a football team continuous or discrete

Answers

Answer:

discrete?

according to probability of basic things we know that there are more people different than same so there is more than enough probability of those sizes being discrete.

Which of the following is a closed statement?

A) yis not an odd number .

B) z is a positive number

D) x is an odd number .

D) 30 is an odd number .

Answers

Answer:

30 is an odd number

Step-by-step explanation:

hope it help

Question:

Which of the following is a closed statement?

Answer:

D) 30 is an odd number .

Step-by-step explanation:

#hope it helps!

Answered by ReyvREYV111

Solve this equation for x. X+13=22

Answers

Answer:

The value of X = 9

Step-by-step explanation:

X+13=22

X = 22-13

X = 9

Answer would be 9 I believe

What percent of 4c in each expression?
c

Answers

An expression given is to subtract a – b – c from the sum of 3a – 2b + 4c and 3b – 2c .

What is the expression about?

An expression in math is known to be the putting together of numbers, variables, etc.

For the expression above,

(3a - 2b + 4c) + (3b - 2c) - (a - b - c)

Therefore:

= 3a - 2b + 4c + 3b - 2c - a + b + c

The answer will be = 2a + 2b + 3c

Learn more about expression from

https://brainly.com/question/723406

#SPJ1

Write 84 as a product of primes.
Use index notation when giving your answer

Answers

SOLUTION

TO DETERMINE

84 as a product of primes.

Use index notation to write the number

EVALUATION

Here the given number is 84

We prime factorise the given number

84 = 2 × 2 × 3 × 7

Number of 2's = 2

Number of 3's = 1

Number of 7's = 1

Rewriting the given number in index form we get

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

The difference between face value and place value of 5 in 2,10,519

brainly.in/question/22495648

2. if one bee drinks 1ml honey then how much honey 1000 bees will drink??

Solve for the point of intersection using elimination.
5x+2y=3 3x-2y=5
please help me!

Answers

Answer:

5x+2y=3 3x-2y=5

7xy=3 xy=5

7xy+xy=3+5

6xy=8

Step-by-step explanation:

it's are the answers

Help me with this. Need to pass my finals

Answers

Answer:

90 degree counter clockwise rotation about the origin
reflect across the x-axis

Step-by-step explanation:

Please Help its a math problem amber has done 3 projects this year in Social Studies and wants a mean project grade of 92. Her first three project grades are 92, 93 and 89. What does she need to make on the fourth project to meet her goal?

Question 5 options:

94


90


95


92

Answers

Answer:

a) 94

Step-by-step explanation:

92 + 93 + 89 + 94 = 368/4= 92

Answer:

94

explanation:

because common sense

5. A sum of money is divided among Ethan, Jun Wei
and Raj in the ratio 5:6:9. After Ethan gives $50
Find the amount of money Ethan has after giving
to his mother, the ratio becomes 3:4:6.
$50 to his mother.
(Step by step explain pls)

Answers

Answer:

$450

Step-by-step explanation:

Let E be the amount of money Ethan starts with, J be the amount Jun Wei starts with, and R be the amount Raj starts with. Let M be the total amount of money to start with.

To start:

[tex]E:J:R = 5:6:9[/tex]

This means Ethan has 5/20 of M, the money to start with. This reduces to 1/4 of M.

Afterwards:

[tex](E-50):J:R = 3:4:6[/tex]

This means Ethan has 3/13 of the remaining money (which is M-50!) after giving up 50. So

E = (M/4), or 4E = M

and

[tex](E - 50) = 3/13 * (M - 50)[/tex]

We know 4E = M, so we can substitute that in:

[tex](E - 50) = 3/13 * (4E - 50)E - 50 = (12/13)E - 150/13E - 650/13 = (12/13)E - 150/13(1/13)E = 500/13E = 500[/tex]

That's how much money Ethan had to start with. But we're asked how much he has AFTER giving $50 away, so that's $450.

Patricia has a circular swimming pool. The diameter of the pool is 15 feet. What is the area of the swimming pool.

Answers

Answer:

The area of the pool is 176.71

Step-by-step explanation:

The formula for a triangle is Area= Pi r (radius) sq.

In this problem, you need to remember that radius is half the diameter.

STEP 1: Divide the diameter in half.

STEP 2: Multiply your answer by itself. (example: if your answer was 8, you would multiply by 8)

STEP 3: Multiply the answer by 3.14 (or Pi)

STEP 4: You just found the area of a circle, GREAT JOB!

given:

diameter= 15 feet

to find:

the area of the circular swimming pool.

solution:

[tex]a = \frac{1}{4} \pi {d}^{2} [/tex]

[tex]a = \frac{1}{5} \times \pi \times {15}^{2} [/tex]

[tex]a = 176.71459 \: {ft}^{2} [/tex]

[tex]a = 176.71 \: {ft}^{2} [/tex]

therefore, the area of the circular swimming pool is 176.71 square feets.

2700 bricks are needed to build 300 square feet of a wall. How many bricks will be needed to build 1800 square feet of wall

Answers

2700/300 = 9 bricks per square foot. 9*1800 = 16200 bricks

What is the area of the octagon, rounded to the nearest square inch? 88 in. 2 175 in. 2 332 in. 2 700 in. 2.

Answers

The answer for this question is gonna be 2 175

1) Set up, but do not solve, a system of equations for the following application: A nurse mixes a 100% saline solution with a 20% saline solution to produce 160 milliliters of a 25% saline solution. How much of the 100% saline solution and how much of the 20% saline solution were used?

Answers

The systems of the equations for the word problem can be expressed as:

x + y = 500              --- (1)100x + 20y = 4000  --- (2)

What is a system of equations?

The system of equations is a set of simultaneous equations that comprises two or more equations expressed in algebraic terms.

From the given information, we are to determine two quantities

i.e.

For 100% saline solution (x) andFor 20% saline solution  (y)

So, 100% and 20% of saline solution produce 160 millimeters.

x + y = 160

Also, the combination of 100% and 20% of saline solution give an average of 25%.

The average now = sum of numbers/ the total numbers

25% = sum of numbers/160

sum of numbers = 25% (160)

Therefore, we can equate it to the mixture carried out by the nurse.

i.e.

25% (160) = 100%(x) + 20%(y)

100x + 20y = 4000

Therefore, the systems of the equations are:

x + y = 500              --- (1)

100x + 20y = 4000  --- (2)

Learn more about the system of equations here:
https://brainly.com/question/847634

#SPJ1

In the diagram, triangle A B C and triangle C D A are congruent. What is the length of segment A D?

Answers

Answer:

Theres no picture but is it the square root of 33?

Step-by-step explanation:

In City Park, the playground takes up 3/8 of the area. The soccer field area is 1/3 of the playground area. The product 13×38 can be used to find the area of the soccer field. Which is the area of the soccer field?

Answers

The area of the city park will be equal to 3952 square units.

What is the area?

The Area is defined as the space occupied by the two-dimensional geometry in a plane.

We have the following information:-

In City Park, the playground takes up 3/8 of the area:-

[tex]\rm PGA=\dfrac{3}{8}\times CP[/tex]

The soccer field area is 1/3 of the playground area.

[tex]\rm SF=\dfrac{1}{3}\times PGA[/tex]

The product 13×38 can be used to find the area of the soccer field

SF= 13  x  38=494 square units

Noe the PGA will be:-

PGA =3 x SF

PGA= 3 x494=1482 square unit

Now the area of the city park will be calculated as:-

[tex]\rm CP=\dfrac{8}{3}\times PGA\\\\\\CP=\dfrac{8}{3}\times 1482[/tex]

CP=3952 square unit

Hence the area of the city park will be equal to 3952 square units.

To know more about the area follow

https://brainly.com/question/24375372

#SPJ1

which shape listen below will result from cross section b?

Answers

Answer: Ellipse

This cross section is not parallel to the circular base, so we get a stretched out circle of sorts. In other words, we get an ellipse.

Find three consecutive integers such that their sum is 40 more that tiwce the middle integer.

Answers

Answer:

  39, 40, 41

Step-by-step explanation:

Let x represent the middle integer. The sum of the three integers will be ...

  (x -1) +x +(x +1) = 3x

This is 40 more than 2 times the middle integer, so we have ...

  3x = 40 +2x

  x = 40 . . . . . . . subtract 2x

The three integers are 39, 40, 41.

_____

Additional comment

It often works well to solve consecutive integer problems by letting a variable represent the middle value, or the average of the integers.

Complete the sentences below.
Shape
C
Shape B is the only shape with three sides.
Shape A is the only shape with Stra lines of symmetry.
Submit Answer
is the only shape with no right angles.

Answers

Answer:

shape A is the only shape with 4 lines of symmetry.

Step-by-step explanation:

A line of symmetry are imaginary lines that passes through the centre of a shape and divides it into equal and identical halves

shape A is a square and a square has 4 lines of symmetry

so therefore, shape A is the only shape with 4 lines of symmetry.

please help < <<<<<<<<33333333 TYY
-20 -8 + (-12)

Answers

Answer:

-30

Step-by-step explanation:

-20-8=-28

-28-12

=-30

PLEASE ANSWER ASAP!!!!!!!!!!

Answers

Step-by-step explanation:

sqrt(5x - 2) <= 3

5x - 2 <= 9

5x <= 11

x <= 11/5

but also : 5x -2 >= 0

otherwise the square root is not valid for real numbers.

5x >= 2

x >= 2/5

so the solution is for all x out of R (real numbers), where

2/5 <= x <= 11/5

350 millilitres
0.75 litre
which container (a or b) holds the higher amount?
how much more does it hold?
give your answer in millilitres.
optional working
answer:
millilitres

Answers

Contain B holds 750 mL and container A holds 350 mL. Then contain B holds more amount than container A.

What is conversion?

Conversion means to convert the same thing into different units.

Let container A contains 350 milliliters.

Let container B contains 0.75 liters.

The conversion of liters to milliliters will be given below.

1 liter = 1000 milliliters

Then we have

Container A = 350 mL

Container B = 0.75 x 1000 = 750 mL

Then the contain B holds 750 mL and the container A holds 350 mL.

Then contain B holds more amount than container A.

More about the conversion link is given below.

https://brainly.com/question/9414705

#SPJ1

3 different ways to write 5^11

Answers

Answer:

There are many ways we can write [tex]5^{11}[/tex] one of them being that we just write 11 fives being multiplied against each other like the following:

[tex]5*5*5*5*5*5*5*5*5*5*5[/tex]

This can seem very repetitive which is why powers are a lot more helpful.  We can also rewrite [tex]5^{11}[/tex] using the power in the bottom of a fraction.  The way that we do this is put [tex]5^{-11}[/tex] on the bottom which can then be flipped to the top with a positive power and will be the same.

[tex]\frac{1}{5^{-11}}[/tex]

The final way that we can rewrite [tex]5^{11}[/tex] is by using several different powers.  We can do [tex]5^6*5^5[/tex] which will equal the same thing as [tex]5^{11}[/tex] because the base is the same and what we basically do is just add up the powers together to get back to 11.

[tex]5^6*5^5[/tex]

Answer:the answer above is correct

Step-by-step explanation:

giving brainliest help asap

Answers

Answer:

12,30

Step-by-step explanation:

Hence the numbers can either be (6,60) or (12,30), but as both the numbers are greater than 6 so the answer is (12,30)

Arlene is cutting square tiles along the diagonal to make pieces for a mosaic. What is an expression for the maximum diagonal length?

A. x√2
B. x √3/2
C. x^2/2
D. 2x√2

Answers

Answer:

Hello your answer is either A. B. C. OR D.

Step-by-step explanation:

This is correct cus it cant be wrong
also my other acc
is brokededed =(

Answer:

it could be one of those answers

Step-by-step explanation:

:P


Nuggets~

Each base of a right prism is a rhombus. The figure has
a vertex at (4, 0, 2). Which ordered triple represents
other vrtices of the prism? Select three options.
(-4, 0, -2)
(0, -3,2)
(0, -3,0)
(-4, 0, 2)
(0, 3, -2)

Answers

Answer:

(0, -3, 2)

(0, -3, 0)

(-4, 0, 2)

What are vertices?

Corner where 2 or more edges meet.

How would you find vertices of a rhombus?

If the length of the diagonals are equal, then the vertices of a rhombus will form a square. Formula used: We will use the formula of distance between two points which is given

[tex]\[d = \sqrt {{{({x_2} - {x_1})}^2} + {{({y_2} - {y_1})}^2}} \], where \[({x_1},{y_1})\] and \[({x_2},{y_2})\][/tex]

be the two points.

°116°
56
f
What is the degree measure of f?.

Answers

Answer:

C. 60

Step-by-step explanation:

60 degrees. the outside angle forms a linear pair w the missing angle, so subtract 116 from 180, giving 64. then ad to 56 to get 120. since the angels of a triangle add to 180, subtract 160 from 180 to get 60, the angle f

ethan sorts shapes into two groups as shown what mistakes did ethan make

Answers

Ethan's mistakes in sorting the shapes into two groups are:

Shape C does not belong to group 1  because it does not have square cornersShape F does not belong to group 2  because it does not have any square cornersHow to spot the mistakes?

From the complete question (see attachment), the shapes are grouped using the following criteria:

All the shapes in group 1 have 4 square cornersAll the shapes in group 2 have exactly 1 square corner

Using the above rules, Ethan's mistakes are: shapes C and F are placed in the wrong groups

Read more about sorting at:

https://brainly.com/question/15049854

#SPJ1

find angle BAD of the diagram.​

Answers

Answer:

[tex]∠BAD≈65.22°[/tex]

Step-by-step explanation:

Note:

The following formula is tan formula:

[tex]tan(\theta)=\dfrac{opposite}{adjacent}[/tex]

1) Finding the tan of ∠BAC

[tex]tan(\theta)=\dfrac{4}{5}[/tex]

[tex]\theta=tan^-1(\dfrac{4}{5})[/tex]

2) Finding the tan of ∠CAD

[tex]tan(\theta)=\dfrac{3}{6}[/tex]

[tex]\theta=tan^-1(\dfrac{3}{6})[/tex]

3) Add the value of ∠BAC to the value of ∠CAD

[tex]tan^-1(\dfrac{4}{5})+tan^-1(\dfrac{3}{6})≈65.22°[/tex]

4) The sum of interior angles in quadrilateral is 360°

Then

[tex]tan(∠BAC)+tan(∠ACB)+tan(∠CAD)+tan(∠ACD)=360°[/tex]

[tex]tan^-1(\dfrac{4}{5})+tan^-1(\dfrac{5}{4})+tan^-1(\dfrac{3}{6})+tan^-1(\dfrac{6}{3})=180°[/tex]

[tex]180°+∠CDA+∠CBA=^?360[/tex]

[tex]180°+90°+90°=^?360°[/tex]

[tex]360°=360°[/tex]

The chance of winning based on the type of lottery tickets we purchase is 0.05, or 1 in 20. We will play each saturday until we win. What is the probability of winning on the fourth ticket?

a .05
b .0407
c .0475
d .04287

Answers

Answer:

Given that the probability of winning is = 0.05

So the probability of losing is = 1 - 0.05 = 0.95.

We are told we have a 1 in 20 chance

Success: 0.05

Failure: 0.95

P(X=4)= 0.95*0.95*0.95*0.05

So the chance is 0.04286 or Option D

In a telephone poll, 2 people said they like shopping and 8 people said they do not like shopping. What is the ratio of the number of people who do not like shopping to the total number of people polled?

Answers

Answer:

4:1

Step-by-step explanation:

There are eight people who don't like shopping and 2 who do. So for every 1 person who likes shopping there are 4 people who don't

Other Questions
during the trial, what did mendez think her parents were fighting for? what did she later learn they were actually fighting for? What is the area of this figure? Please help. 2x-17=51+61Super easy! How many moles of H2O are in 35 grams of H2O? 5 / 949 If they decide to drive 949 mi to Denver instead, how many miles will they drive each day? What is the slope of the line through (-5, 13) and (2,-1) Choose all of the following statements that suggest a positive association.A. The less education a person has, the less money they will likely earn.B. The less fruits and vegetables a person eats, the lower their risk for cancer.C. The smaller a person's shoe size, the larger their pant size.D. The more you study, the more likely you are to earn a better grade. Which Stem-and-Leaf Plot matches the data set shown below?{11, 23, 13, 17, 13, 24, 22, 32, 12, 35} PLEASE HELP ME Draw a complete enthalpy diagram for the following reaction: 4Na(s) + O2(g) 2Na2O(s). H=-178kJ Which wire, when current flows through it, would be surrounded by the strongest magnetic field? After much effort and analysis, you determined the following cost formulas and gathered the following actual cost data for March:Cost Formula Actual Cost in MarchUtilities $16,700 plus $0.15 per machine-hour $ 21,650Maintenance $38,100 plus $2.00 per machine-hour $ 73,900Supplies $0.40 per machine-hour $ 8,200Indirect labor $95,000 plus $1.20 per machine-hour $ 121,100Depreciation $67,900 $ 69,600During March, the company worked 19,000 machine-hours and produced 13,000 units. The company had originally planned to work 21,000 machine-hours during March.Required:1. Calculate the activity variances for March.2. Calculate the spending variances for March. Explain the difference between perfect and imperfect flowers in complete sentences. suppose y is directly proportional to x and y=40 when x=10 find y if x=16 A company is designing a new cylindrical water bottle. The volume of the bottle will be 226 cm cubed. The height of the water bottle is 8.2 cm. What is the radius of the water bottle? Use 3.14 for pi Need answer asap plsss!! Which equation describes the line with a slope of -3 that contains the point (2,4)? PLEASE HELP AND FASTThis is a picture of a cube and the net for the cube.What is the surface area of the cube?48 mm64 mm112 mm384 mm Round each fraction to help you estimate the solution for the following equation: nine tenths minus four tenths equals 0 one half 1 one and one half What is the role of doctors in our society? Explain. it is for science class please help answer the questions and fast . I will mark brainliest but it has to be right. 2,994 divided by 128 i need help