Suppose that an experiment consists of flipping a coin 3 times and observing the resulting sequence of heads and tails. Find the probability of observing: exactly 3 tails.

Answers

Answer 1

Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability of observing exactly 3 tails.

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, considering 3 tosses of a fair coin, the parameters are n = 3 and p = 0.5.

The probability of 3 tails is P(X = 3), hence:

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

[tex]P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125[/tex]

0.125 = 12.5% probability of observing exactly 3 tails.

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


Related Questions

PLS HELP NO LINKS!!!!!!!! 30 POINTS

Answers

Answer:

I'm sure it's the second one

Answer:

second answer is correct


Using proportions to solve for missing sides.
DGH~DEF
Find the value of x.

Answers

Answer:

25

Step-by-step explanation:

If ΔDGH ~ ΔDEF , then [tex]\frac{DG}{DE}[/tex] = [tex]\frac{GH}{EF}[/tex]

[tex]\frac{x+3}{2x-1}[/tex] = [tex]\frac{52}{91}[/tex]

After cross-multiplication: 52(2x - 1) = 91(x + 3)

104x - 52 = 91x + 273

13x = 325

x = 25

Answer:

x = 25

Step-by-step explanation:

DGH~DEF ⇒ their corresponding sides are proportional

then

[tex]\frac{DG}{DE} =\frac{GH}{EF}[/tex]

then

[tex]\frac{52}{91} =\frac{x+3}{2x-1}[/tex]

then

[tex]\frac{4}{7} =\frac{x+3}{2x-1}[/tex]

then

4(2x-1) = 7(x+3)   [cross multiply]

then

8x - 4 = 7x + 21

then

8x - 7x = 21 + 4

then

x = 25

need help with geometry (number 23)

Answers

Answer: D

Step-by-step explanation:

Diagonals of a square are perpendicular, so the measure of angle 1 is 90 degrees.

Compare the functions shown below:


g(x)
f(x) = −3x + 2 cosine function with y intercept at 0, negative 3 h(x) = 4 sin(2x + π) + 3


Using complete sentences, explain which function has the greatest y-intercept.

Answers

Answer:

I know 3 h(x)=4sin(2x+pi)+3  is the correct option.

Step-by-step explanation:

I don't exactly know why but based on examples in this class I made this conclusion.

Answer:

all are -3

Step-by-step explanation:

substitue 0

ASZPPPP
LAST ONEEE PLEASEE HELPP

Answers

Answer:

Top Left

I sincerely hope this is right and that you get g really good mark ;)

There is an animal farm where chickens and cows live. All together, there are 92 heads and 256 legs. How
many chickens and cows are there on the farm?
show your work!

Answers

Answer:

56 Chickens

36 Cows

Step-by-step explanation:

You can set this up as a system of equations:

(x=chickens, y=cows)

[tex]\left \{ {{92 = x+y} \atop {256=2x+4y}} \right. \\[/tex]

To solve this system, first we can solve for x in the top equation:

[tex]x=92-y[/tex]

Next, we can plug in x to the second equation and solve for y:

[tex]256=2(92-y)+4y\\256=184+2y\\2y=72\\y=36[/tex]

And now that we have y, we can plug it into the first equation and solve for x:

[tex]92=x+36\\x=56[/tex]

(BRAINLIEST) Which statement combines information from BOTH texts. Fill in the chart. Hurry please?

Answers

The third option



In both passages, they say they are turned down and ignored until something bad happens

Answer:

Many newspaper reporters ignored the success of Black players and wrongly judged their actions

Step-by-step explanation:

its correct i swear its the right answer i bet you 100 brainly coins

find the value of 6y - 1 given that 17y - 8 = 9​

Answers

it is yo mama x 666666

Answer:

5

Step-by-step explanation:

if 17y-8=9, then you could say that 17y=17, by adding 8 to both sides.

So, y=1

Then, plug that value into the new equation 6y-1.

You recieve 6(1)-1

Therefore, the value of the new equation is 5

how can I solve 1 4/5 x 1/2?

Answers

Answer:

[tex]\frac{9}{10}[/tex]

Step-by-step explanation:

first we write 1 4/5 as an improper fraction:

[tex]1 \frac{4}{5}=\frac{5}{5}+\frac{4}{5}=\frac{5+4}{5}=\frac{9}{5}[/tex]

Now we multiply :

[tex]\begin{aligned}1 \frac{4}{5} \times \frac{1}{2} &=\frac{9}{5} \times \frac{1}{2} \\&=\frac{9 \times 1}{5 \times 2} \\&=\frac{9}{10}\end{aligned}[/tex]

50% of the population are within one standard deviation.
O True
O False ???

Answers

Answer: False

Step-by-step explanation:

68%

Key Takeaways. The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.

How many triangles can be constructed with angles measuring 110° 50° and 10°


Pls explain in detail so I can understand

Answers

Answer

0

Step-by-step explanation:

Because 110+50+10= 170 and every triangle has 180º

3.) Given the graph of the line represented by the equation f(x) = -3x + b,
if b is decreased by 5 units, the graph of the new line would be shifted 5 units
1) right
2) up
3) left
4)down

Answers

Answer: (4)

Step-by-step explanation:

need help with geometry (number 20)

Answers

Answer: A

Step-by-step explanation:

Since diagonals of a rectangle are congruent and bisect each other, we know that the two opposite triangles formed by the diagonals are congruent by SAS.

Therefore, the measure of angle 1 is equal to 25 degrees.

Sancho paints the new sign for his bike shop. One quart of paint covers 200 square
feet, and Sancho plans on applying three coats of paint. One quart of paint cost
$8.97. What is the square footage of his sign and ow much must Sancho spend to
paint the sign?

Answers

Slit the shape into a rectangle and two triangles:

Rectangle = 9 x 8 = 72 sq. Ft.

Triangle = 1/2 x 8 x 2.5 = 10 sq. Ft x 2 = 20 sq. Ft.

Total area = 72 + 20 = 92 sq. Ft.


3 coats x 92 = 276 sq ft worth of paint.

1 quart covers 200 so he would need to buy 2 quarts:

2 x $8.97 = $17.94 total

(WORTH 70 PLS HELP) What percent of the values represented in this box-and-whisker plot are less than 20?

Box-and-whisker plot defined by points at 5, 20, 25, 30, and 45.


about 10%

about 25%

about 50%

about 75%

Answers

Answer:

About 25%

Step-by-step explanation:

The median is 25, and you know there are quartiles. From the median to a consecutive quartile, there is a range of 25%. For less than 20, It's from 5-20. Since there is a consecutive quartile, you get 25%!

Answer:

25%

Step-by-step explanation:

I took the test                                                                                                                                         Hope this helps :)

HELP ASAP 20 BRAINLY POINT PLUS USER HELPPP ​

Answers

Answer:

A

Step-by-step explanation:

(m / 3) = (12 / 3) = 4

1/2 x 4 = 2

2 + n = 2 + 3/5 = 2 and 3/5 = 13/5

Answer:

13/5

Step-by-step explanation:

(2x > 10) list some values for x that would make this inequality true

Answers

Answer:

6 , 7 , 8 , 9...

Step-by-step explanation:

2x > 10

x > 5

then

x = 6 , 7 , 8, 9...

I think that I am right and also think this will helpful to you.....

Find the area and the circumference of a circle with radius 4m. Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers. 4m Area: Circumference:

Answers

Answer:

!!! please use the correct units.. m² and m !!!

the answer is in the picture

help me help me me hel​

Answers

6) 19, 23, 27
8) 24, 33, 43,
10) 32, 64, 128
12) 30, 42, 56

At 9AM on a Monday, five Starbucks are chosen and all customers are asked to participate in a survey.

What method of sampling was used to choose these people?

Answers

Answer:

random sampling

Step-by-step explanation:

There are no rules or criteria that are set to choose which Starbucks are chosen to be surveyed.

Using Coordinates in Proofs |
IS
What is the most specific name for the figure?
A(a,0)
B(0, b)
Cla, 2b)
D(2a, b)
B
D
А
B. Rectangle
A. Trapezoid
D. Rhombus
C. Square

Please help me!

Answers

Answer: D

Step-by-step explanation: You're Welcome

5 + 5 ? please answer tricks

Answers

Answer: 5 + 5 = 10

Reason: Imagine that you have 5 pencils in one hand, then you add another 5 pencils into that hand, and you would have 10 pencils. Thus 5 + 5 in this case is 10

Hope that helps!

Let’s do this with dots
5+5=10
•••••+•••••= ••••••••••
5 dots+ 5 dots= 10 dots
Count them if u need to
Please give me brainliest

Find the surface area of the prism.

Answers

Answer:

158 in²

Step-by-step explanation:

Surface area of a rectangular prism:

2(lw + lh + wh), where w is the width, l is the length and h is the height.

= 2((8 x 5) + (8 x 3) + (5 x 3))

= 2(40 + 24 + 15)

= 2(79)

= 158 in²

Meena buys cookies and apples at the store.
She pays a total of $24.02.
She pays a total of $6.90 for the cookies.
She buys 4 bags of apples that each cost the same amount.

How much does each bag of apples cost?

Answers

Answer:

each apple would cost $4,28

The cost of each bag of apples is 4.28 dollars.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that Meena buys cookies and apples at the store.

Meena pays a total amount of $24.02.

She pays a total amount of $6.90 for the cookies.

She buys 4 bags of apples which each cost the same amount.

The total cost of apples = 24.02 - 6.90

= 17.12

Therefore, each bag of apples cost = 17.12/ 4 = 4.28

Hence, the cost of each bag of apples is 4.28 dollars.

To learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

You work 44 hours at Candelaria's Tortilla Factory (CTF), You earn $15.00 per hour and you get paid 1.5 times
your base rate for hours worked over 40 hours. You pay 6.25% for Social Security, and 1.45% for Medicare.
You also pay $83.00 for your health insurance. You also put 3% of your gross pay into 401(k). How much is
your take home pay?

Answers

Answer:

$537.87

Step-by-step explanation:

First, we need to determine our total pay which will be 40 hours times our $15 per hour to be $600. For the extra hours above 40, we are payed 1.5 times as much.

$15 * 1.5 = $22.5 * (44-40) = $90 additional pay

$600 + $90 = $690 total pay

Now, we calculate all of our deductions.

Subtract social security to be

690 * (1-0.0625) = $646.875

Medicare Deduction

646.875 * 0.9855 = $637.50

Health Insurance

$637.50-83 = $554.50

401k Deduction

$554.50 * 0.97 = $537.87

Find the points on the ellipse
3x2 + y2 = 3
that are farthest away from the point (1, 0).

Answers

This question has to do with the Mathematical sub-topic in Geometry called Ellipse.

What is an Ellipse in Maths?

An ellipse is a circle that has been stretched in one direction so that it is no longer symmetrical but oval in shape.

How does one find the points on the ellipse?

Let us assume that the points on the ellipse is (cosθ, √3 sinθ)

Next let's minimize their distance squared from (-1, 0)  taking a point on the ellipse as (cos θ- -1)² + (√3 sin θ)² =

cos²θ + 2cos θ + 1 + 3 sin² θ

(Substituting sin² θ + cos² θ = 1)

2 + 2 cos θ + 2 sin² θ

The derivative is given as

-2 sin θ + 4 sin θ cos θ =

-2 sin θ (2 cos θ - 1)

The above translates to 0 at sin θ = 0 or cos θ = 1/2, which results in 0°, 180°, 60°, 300°

Assuming we re-write the first derivative as - 2sin θ+ 2sin 2θ, the second derivative becomes:

-2 cos θ + 4 cos 2 θ

At 0°, 180°, 60°, 300°, we get 2, 6, -3, -3.

Therefore, our relative minima is given at 0°, 180°, while the relative maxima at 60°, 300°.

It is safe to declare, therefore that due to the nature of the function, the global minima and maxima will be among the four locations indicated above.

In addition to that,, 180° is the global minimum. This is because it is at the actual point, while  60° and 300° give the same value of the distance squared, thus both will each be maxima.

(cos θ, √3 sin θ) at  60°, 300° is (1/2, 3/2) and (1/2, -3/2)

Learn more about Point on Ellipse at:
https://brainly.com/question/4399570

See the definition of a circle here:
https://brainly.com/question/8952990

how to find the area of a triangle with a base of 4 1/2 and a height of 2 2/3

Answers

Answer:

6

Step-by-step explanation:

The formula for the area of a triangle is 1/2(bh).

4 1/2=9/2, 2 2/3= 8/3

9/2x8/3=72/6,

12. However, you still have to divide by two, which gets you 6

Answer:

6

Step-by-step explanation:

The formula for the area of a triangle is 1/2(bh).

4 1/2=9/2, 2 2/3= 8/3

9/2x8/3=72/6,

What is the slope of a line perpendicular to the line whose equation is
3x – 3y = 63. Fully simplify your answer.

Answers

Answer:

3x-3y=63 = -1

Step-by-step explanation:

so the anwer is -1

If m∠D = 96°, what will be the m∠C to have a supplementary angle.

Answers

Answer:

84

Step-by-step explanation:

supplementary means two angles that add to 180

180-96=84

what is the slope of the line that passes through the points (-1,1) and (1,-15)​

Answers

Answer:

[tex]\boxed{\text{The slope is -8.}}[/tex]

Step-by-step explanation:

To find the slope of the line, you have to use a slope formula.

Slope formula:

[tex]\Longrightarrow:\sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

⇒ y2=(-15)

⇒ y1=1

⇒ x2=1

⇒ x1=(-1)

Rewrite the whole problem down.

[tex]\Longrightarrow: \sf{\dfrac{-15-1}{1-\left(-1\right)}=\dfrac{-16}{2}=\boxed{\sf{-8}}[/tex]

So, the slope is -8, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

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