A manufacturer of game controllers is concerned that their controller may be difficult for left handed users. They set out to find lefties to test. About 13% of the population is left handed. If they select a sample of five customers at random in their stores, what is the probability of each of the following outcomes?
a. The first lefty is the fifth person chosen
b. There are some lefties among the 5 people
c. The first lefty is the second or third person
d. There are exactly 3 lefties in the group
e. There are at least 3 lefties in the group
f. There are no more than 3 lefties in the group

Answers

Answer 1

Answer:

a)0.074

b)0.502

c)0.2114

d)0.0166

e)0.01790

f)0.9987

Step-by-step explanation:

Probability of being left handed = 0.13

Probability of being not left handed = 1-0.13 =0.87

They select a sample of five customers at random in their stores

a. The first lefty is the fifth person chosen

Probability that first lefty is the fifth person chosen =[tex]0.87 \times 0.87 \times 0.87 \times 0.87 \times 0.13=0.074[/tex]

b)There are some lefties among the 5 people=[tex]1-P(x=0)=1-0.87^5=0.502[/tex]

c)The first lefty is the second or third person=[tex]0.87 \times 0.13 + 0.87 \times 0.87 \times 0.13 =0.2114[/tex]

d)

[tex]P(x=3)=^5C_3 (0.13)^3 (0.87)^2=\frac{5!}{3!2!}(0.13)^3 (0.87)^2=0.0166[/tex]

e)

[tex]P(x\geq 3)=P(x=3)+P(x=4)+P(x=5)\\P(x\geq 3)=\frac{5!}{3!2!}(0.13)^3 (0.87)^2+\frac{5!}{4!1!}(0.13)^4(0.87)^1+\frac{5!}{5!0!}(0.13)^5 (0.87)^0=0.01790[/tex]

f)

[tex]P(x\leq 3)=P(x=0)+P(x=1)+P(x=2)+P(x=3)[/tex]

[tex]P(x\leq 3)=\frac{5!}{0!5!}(0.13)^0 (0.87)^5+\frac{5!}{4!1!}(0.13)^1(0.87)^4+\frac{5!}{2!3!}(0.13)^2 (0.87)^3+\frac{5!}{2!3!}(0.13)^3 (0.87)^2=0.9987[/tex]


Related Questions

Brian bought 14 packs of 9 tickets each he also found 6 more tickets how many tickets does he have in all

Answers

Answer:

756

Step-by-step explanation:

14x9x6=756

Answer:

it is 132

Step-by-step explanation:

14x9+6

What Is 3 times blank equelas 27?

Answers

Answer:

3 * 9 = 27

Step-by-step explanation:

3 * 9 = 27

Answer:

3 times 9 equals 27

Step-by-step explanation:

3x1=3

3x2=6

3x3=9

3x4=12

3x5=15

3x6=18

3x7=21

3x8=24

3x9=27

How many times do you need to regroup to add 873 + 465 ? Explain .

Answers

Answer:

2

Step-by-step explanation:

To find the answer to this question, we need to add the numbers according to their place. Etc if 1 and 4 are together in a hundreds place, we add them together. If both numbers add up together results in a number bigger than 9, we have to regroup.

First, let us find the ones place.

3+5=8

Since the result is not more than 9, we do not have to regroup.

Secondly, we find the tens place.

7+6=13

Since the result is more than 9, we have to regroup.

Regrouping counter:1

Thirdly, we find the hundreds place.

8+4=12

Regrouping counter:2

Hence, your final answer is 2.

The number of times we need to group when summing 873 and 465 is 2.

During addition of two numbers, values are added based on their place values, such that digits with the same place value are added together.

The highest single value that can be obtained when summing values without needing to regroup is 9.

Hence, each time two digits are added such that the value of the sum exceeds 9, then regrouping is required.

Adding 873 + 465

H __ T __ U

8 __ 7 __ 3

4 __ 6 __ 5

(3 + 5) = 8 ( NO NEED TO REGROUP)

7 + 6 = 13 (WE NEED TO REGROUP) SUM exceed 9

(8 + 4 + 1) = 13 (WE NEED TO REGROUP) SUM exceed 9

Hence, the number of times we need to regroup is 2.

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44​% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is​ (a) exactly​ three, (b) at least​ four, and​ (c) at most two. If​ convenient, use technology to find the probabilities.

Answers

The answer to this is at least 4

Please help I’m not sure if my answer is correct!!!

Answers

Answer:

i would say it is GOOD JOB

Step-by-step explanation:

What is the slope of the line on the graph?

Answers

Answer:

2/4

Step-by-step explanation:

You would have to count the number of units (rise over run)

Answer:

the slope is 1/2 .

Step-by-step explanation:

Sarah and Jane both brought new storage containers for packing away winter clothing. Sarah’s storage containers are cubic meters, of the storage container. Jane’s containers are prism shaped, and the height of each in her set can be determined by the following graph.

Answers

Answer: the answer is Sarah

Step-by-step explanation:

Just got it correct on Plato

An auto mechanic earns $498.75 in 35 hours during the week. His pay is $2.50 more per hour on weekends. If he works 6 hours on the weekend in addition to 35 hours during the week, how much does he earn?

Answers

Answer:

$513.75

Step-by-step explanation:

An auto mechanic earns $498.75 in 35 hours during the week. His pay is $2.50 more per hour on weekends.

$498.75 + $2.50 × x

If he works 6 hours on the weekend in addition to the 35 hours during the week:

$498.75 + $2.50 × 6

= $498.75 + $15

= $513.75

Please help with these two questions, 20 points

Answers

Answer:

1. Coefficient

2. Variable

Percent decrease from 275 to 242

Answers

275-242 = 33 so 33% is the answer

THIS IS DUE IN 1 HOUR I WILL MARK BRAINLIEST
Jack has 24 game cards. He divides them between his brother, his sister, and himself in the ratio 2:1:5. How many cards does each get?
THERE IS 15 POINT WAITING FOR YOU

Answers

Answer:

brother gets 6 cards

sister gets 3 cards

he gets 15 cards

Answer:

8

Step-by-step explanation:

A chicken traveled 4.5 miles in 30 minutes . A squirrel traveled 4 miles in 20 minutes . Which animal traveled at a faster rate ?

Answers

Answer:

The squirrel

Step-by-step explanation:

4.5/30 is 0.15 per minute while the squirrel is 4/20 which equals 0.2 per minute. 0.2 is greater than 0.15 making the squirrel faster. Hope this helps!

Show all work to multiply quantity 6 plus the square root of negative 64 end quantity times quantity 3 minus the square root of negative 16 end quantity

Answers

Answer:

2

Step-by-step explanation:

(6 + square root of -64) - (square root of -16)

6 - 8 + 4

2

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression [6 + √(-64)] [3 - √-16] when simplified is equal to 50.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

What is a complex number?

A complex number is a number system that extends the real numbers with a particular element labelled "i" known as the imaginary unit, and satisfies the equation i² = -1; every complex number may be represented as a + bi, where a and b are real numbers.

The given expression can be written as,

[6 + √(-64)] [3 - √-16]

= (6 + 8i)(3 - 4i)

= 18 - 24i + 24i - 32i²

= 18 - 32(-1)

= 18 + 32

= 50

Hence, The given expression [6 + √(-64)] [3 - √-16] when simplified is equal to 50.

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ2

porcentaje de 70 y 35​

Answers

Answer:

50%

Step-by-step explanation:

35/70 = 50%

Answer:

debe ser 30 porque la distancia entre 70 y 35 es 40.

Step-by-step explanation:

70 - 35 = 35

Solve for x: 6(2x - 4) = 7(21 - 8)

Answers

Answer:

[tex]9 \frac{7}{12} [/tex]

Step-by-step explanation:

Expand:

[tex]6(2x) + 6( - 4) = 7(13) \\ 12x - 24 = 91[/tex]

+24 on both sides:

[tex]12x = 91 + 24[/tex]

Simplify:

[tex]12x = 115[/tex]

÷12 on both sides:

[tex]x = 115 \div 12 \\ x = 9 \frac{7}{12} [/tex]

Answer:

x = 9.583 or 115/12

Step-by-step explanation:

Hope this helps!!

You baked a total of 270 cookies for your school using three shapes:
stars, circles, and hearts. You have four times as many stars as
circles. The number of hearts is ten less than five times the number
of circles. How many hearts are there?

Answers

Answer: They are only 5 heart remaining.

Step-by-step explanation:

You are at a restaurant and the check comes to a total of $23. If you want to leave a 20% tip, how much total money should you pay, to the nearest cent?

Answers

Answer:

$27.60

Step-by-step explanation:

23×1.2=27.60 is the answer

PLEASE HELP URGENT !

Write a compound inequality for the graph shown below. Use x for your variable.

Answers

x < -7 or x ≥ 7

I hope this helps!

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Answers

Answer:

My answer is in the equation

Step-by-step explanation:

where m is the slope and b is the y-intercept. Subtract x from both sides of the equation. Multiply both sides by −1


The psychology club is having a self-proclaimed psychic come to their campus fund-raising event to demonstrate his abilities. He charges $200 for these events, and the club is charging 51.50 for
tickets with a chance to have the psychic read the ticket holder's mind.

Let x represent the number of tickets sold and y represent money. Fill in the items below for the linear model
Y=? X +?
How much would the club gain or lose by selling 100 tickets?

How many tickets are needed to break even? (Round to nearest whole ticket)

Answers

It would 20,000000000

3 + |-7| I would like some help

Answers

Answer: The answer will be -4

Whats 2x2 i will give you 14 points

Answers

Answer:

4

Step-by-step explanation:

2×2=4

hope that helped

Answer: 4

Step-by-step explanation: 2 x 2 = 4 dummy


(1/5) ^ 3 * (1/5) ^ 4 * (1/5) =

Answers

9514 1404 393

Answer:

  (1/5)^8

Step-by-step explanation:

The applicable rules of exponents are ...

  a = a^1

  (a^b)(a^c) = a^(b+c)

__

(1/5)^3 · (1/5)^4 · (1/5) = (1/5)^(3+4+1) = (1/5)^8

  = 1/390625

When simplified,the value of the expression (15 - 11)^2 + sqrt 64/4 is equal to______.

Answers

Answer:

The answer is 20

Step-by-step explanation:

Solve paranthese first then sqrt your answer then add the remainig

A cube has a volume of 8 cubic inches. What is the length of each edge of the cube?

Answers

Answer:

2in

Step-by-step explanation:

because 2x2x2=8

Find the midpoint of the segment with the following endpoints.
(-6, 4) and (-1,-6)

Answers

Answer:

Hello

Midpoints of (-6,4),(-1,-6)

P(a,b)=(x1+x2/2),(y1+y2/2)

        =(-6+-1/2),(4+-6/2)

        =(-7/2),(-2/2)

        =(-7/2),(-1)

Midpoints of the segment with endpoints (-6, 4) and (-1,-6) are (-7/2),(-1)

Hope it helps you......

Given f(x) = {(4 - x), what is the value of f(16)?​

Answers

Answer:

f(16)= 4-16

f(16)= -12

show your work and please hurry
−16 + x = −15

Answers

Answer:

x-1

Step-by-step explanation:

-16+1  16-15=1

To get -15 move 1 in the positive direction or backwards

or if this helps ignor the - and just subtract 16 from 15

Answer:

x = 1

Step-by-step explanation:

Add 16 to each side, so it now looks like this: x = 1

I hope this helps!

SOLVE AND JUSTIFY RIGHT ANSWER GETS BRAIN

Answers

Answer:

x > 14

Step-by-step explanation:

It is really easy.

write an equation to solve for x your only writing the equation 7x +9 5x +3 will mark brainiest​

Answers

Answer:

-3

Step-by-step explanation:

7x+9=5x+3

2x+9=3

2x=-6

x=-3

Answer:

equation is  7x +9 = 5x +3x = -3

Step-by-step explanation:

7x +9 = 5x +3

combine like terms

7x - 5x = 3 - 9

2x = -6

x = -6/2

x = -3

proof:

7x +9 = 5x +3

7(-3) +9 = 5(-3) +3

-12 = -12  ---- ok

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