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

what is 3 wholes and 3/10+ 1/2

Answers

Answer:

Improper Fraction: 19/5  Mixed number: 3 and 4/5

Step-by-step explanation:

1. Convert to improper fraction= 33/10

2. 1/2 is also equal to 5/10

3. add 33/10 and 5/10 = 38/10

4. Simplify = 19/5  

I hope this helped!

I am a multiple of 6. I am also a multiple of 4. I am less than 30.
Who am I?

Answers

Answer:

12 and 24

Step-by-step explanation:

First, we need to list out the common multiples of 4 nd 6, less than 30

[tex]4 = 0.4,8,12,16,20,24,28[/tex]

[tex]6 = 0.6,12,18,24[/tex]

Then, we list out the common multiples

[tex]Common\ Multiple = 12,24[/tex]

Since, only 12 and 24 fall in this category.

Then the number is either 12 or farm

Determine the distance between the following two points

(10,1) and (9,-4)

Answers

I think ur referring to midpoint or endpoint formula if so you can look up the equation but I can’t solve for sure.

The beginning balance of Keyshawn's savings account for the month of September was $3900, and it remained this way for the first 11 days of the month. On September 12, Keyshawn made a withdrawal of $700, so his balance changed, and it remained the same for a total of 9 days. On September 20, Keyshawn made a deposit of $1500, so his balance changed again, and it remained the same for a total of 10 days to finish out the month. Keyshawn's savings account has an APR of 3.65%, calculates interest daily, and pays interest at the end of the month. Keyshawn wants to calculate the amount he earned in interest during the month of September.
Part I: What interest rate does Keyshawn's savings account pay per day?
Part II: How much did Keyshawn earn in interest during the first 11 days of September?
Part III: How much did Keyshawn earn in interest during the next 9 days of September?
Part IV: How much did Keyshawn earn in interest during the last 10 days of September?
Part V: How much did Keyshawn earn in interest during the month of September?

Answers

Answer:

1. 3.65%

2. 14,235

3. 49402.75

4. 185,795.04

5. 181,895.0375

Step-by- step explanation:

if 3 kg of beans cost $1.50, how much does two kg cost?

Answers

Answer:

$1

Step-by-step explanation:

1.50/3=0.5

unit price is $0.5

$0.5 * 2 kg = 1

Answer:

$1

Step-by-step explanation:All you do is divide 1.5 by 3 and you get .5 and because you need the cost for 2 kg you would add .5+.5=1

1 dm² ÷ 1 cm² = ?
How much is it?

- Thanks ​

Answers

Please Comment the input information ! Then I’ll help you :)

PLEASE HELP ME WIT DIS

Answers

Answer:

B

Step-by-step explanation:

it would be B because of the answer is-5/8 lol

Answer:

A

Step-by-step explanation:

None of the other answer made since.

7+69+420‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

Answers

Answer: 496

Step-by-step explanation:

I’ll mark Brainly! The diagram models a numerical equation. What does line A represent?
A) −2
B) −6
C) +2
D) +6

Answers

Answer:

I think it's A.-2

Step-by-step explanation:

Because it's going backwards from zero by two lines so I think it's -2 Hope it's right

Yep me and my mom and I are going to

PLEASE DO THIS FOR MEH

Answers

Answer:

144.21

Step-by-step explanation:

Use Distributive Property to multiply the parentheses.

3.7 ⋅ 42.3 = 156.51

3.7 ⋅ 24.6 = 28.3

Your equation should look like this now:

8^2  ÷ 4 + 156.51 - 28.3

8 to the second power is 64

64 ÷ 4 + 156.51 - 28.3

Divide:

64 ÷ 4 = 16

Equation:

16 + 156.51 - 28.3

Add.

16 + 156.51 = 172.51

Equation:

172.51 - 28.3

Subtract.

144.21

Hope I helped :)

Please consider Brainliest :)

Solve using substitution y=3x+2, y=7x-6

Answers

Answer:

x=2, y=8 or (2, 8)

Step-by-step explanation:

y=3x+2

y=7x-6

substitute y=7x-6 into y=3x+2

7x-6=3x+2

4x=8

x=2

then plug 2 into either one

y=7(2)-6

y=8

Check answers

8=3(2) + 2  | correct

8 =7(2)-6 | correct

The answers are. Y=-0.6 , Y= 6/7

The length of a rectangle is four times its width. if the perimeter of the rectangle is 90 cm, find its length and width

Answers

Answer:

length 36, width, 9.

Step-by-step explanation:

you are trying to find "X" and it's 4 times the size of y, the whole thing is equal to 90. it would look like this

y=4x

y(4x) + x = 90

5x=90

90/5= 18

the rest is the "y" value, 72.

divide both by 2 because rectangles have 4 sides, and you get the answer above.

Similar triangles can have congruent angles and congruent sides.

True or false

Answers

Answer:

True

Step-by-step explanation:

I had the same question on my test :)

 (Reason why it's true)

Similar triangles can have the S.A.S (Side, angle, side). They can even.  

Answer:

True!

Step-by-step explanation:

Find the values for a, b, c, from the number line

Answers

Answer:

A is 1/2 B is -5 and C is 3

Step-by-step explanation:

because it start at 0 and A is not on the 1 it is on the half B is 5 backwords and C is 3 spaces

Find the distance between the points -6.2 and -9.8. Show your work.

Answers

Answer:

3.6

Step-by-step explanation:

subtract the numbers

A fruit bowl contains 2 bananas, 5 oranges, and 4 apples.Using the same fruit bowl, Carol wrote the ratio 5\11 .What could Carol's ratio represent?

Answers

Answer:

5 of the 11 fruit are oranges

Step-by-step explanation:

Answer:

I know who you are your doing a test

Step-by-step explanation:

In 1998, the population of country C was 38 million, and the exponential growth rate was 1% per year

Answers

Answer:

Step-by-step explanation:

Formula for the exponential graph is given by the function,

[tex]P(t) = P_0(1 + r)^t[/tex]

Where [tex]P(t)[/tex] = population after 't' years

[tex]P_0[/tex] = Initial population

r = rate of increase

t = Number of years

In 1988, population of a country C was 30 million.

A). Function for the population will be,

    [tex]P(t)=38(1+0.01)^t[/tex]

            [tex]=38(1.01)^t[/tex]

B). Population in year 2020,

   [tex]P(22)=38(1.01)^{22}[/tex]

           = 47.30 million

C). Doubling time means the duration in which [tex]P_0[/tex] becomes [tex]2(P_0)[/tex].

  [tex]P(t)=2P_0[/tex]

  [tex]2P_0=P_0(1.01)^t[/tex]

  [tex](1.01)^t=2[/tex]

  By taking log on both the sides of the equation,

  t[log(1.01)] = log2

  t = [tex]\frac{\text{log}(2)}{\text{log}(1.01)}[/tex]

    = [tex]\frac{0.30103}{0.004321}[/tex]

  t = 69.66 years

*BRAINLIEST* Factor the expression given below. y^3 - 216​

Answers

Answer: -216 + y³

...............................

It’s difference of cubes, so you use the formula
(a-b)(a^2+ab+b^2)

Y^3-216
(y^2+6y+36)(y-6)

The manager of the BiLo Supermarket in Mt. Pleasant, Rhode Island, gathered the following information on the number of times a customer visits the store during a month. The responses of 51 customers were: 5 3 3 1 4 4 5 6 4 2 6 6 6 7 1 1 14 1 2 4 4 4 5 6 3 5 3 4 5 6 8 4 7 6 5 9 11 3 12 4 7 6 5 15 1 1 10 8 9 2 12 a. Starting with 0 as the lower limit of the first class and using a class interval of 3, organize the data into a frequency distribution. b. Where do the data tend to cluster? 12 up to 15 15 up to 18 3 up to 6 6 up to 9 0 up to 3 9 up to 12 c. Convert the distribution to a relative frequency distribution. (Round your answers to 2 decimal places.)

Answers

Answer: kindly check explanation

Step-by-step explanation:

Given the data :

5 3 3 1 4 4 5 6 4 2 6 6 6 7 1 1 14 1 2 4 4 4 5 6 3 5 3 4 5 6 8 4 7 6 5 9 11 3 12 4 7 6 5 15 1 1 10 8 9 2 12

Frequency and relative frequency table can be found in the attachment below.

b. Where do the data tend to cluster?

3 up to 6


[tex](789) \times 2575 - 58 )[/tex]

Answers

i got 2031617 but i used a calculator uhm how should i solve it
Solutions Solving Steps 789 (2575-58) Calculate 789 x 2517 Multiply Solution 1985913 Alternative Form 1.985913 x 10°

If the value of two integers differs by 3, and the product of the two integers is 108, what is the sum of the two integers?
A.21
B.19
C.25 D.23

Answers

Answer:

A

Step-by-step explanation:

Let the smallest number be n.

If the next integer differs by 3 then:

n + 3 is our second integer.

If the product is 108 then we would multiply them together.

n * (n + 3) = 108    Now solve for n.

(n*n) + (n*3) = 108

[tex]n^{2} +3n = 108[/tex]     Now we move 108 to the other side by subtracting so we can factor.

[tex]n^{2} + 3n - 108 = 0[/tex]

(n       )(n       ) = 0    

Find all the multiples of 108

1 x 108

2 x 54

3 x 36

4 x 27

6 x 18

9 x 12

Which one can we add or subtract together to get 3?

9 x 12    because 12 - 9 = 3

[tex]n^{2} + 3n - 108 = 0[/tex]

(n    12)(n     9) = 0    Now we figure out the signs. Since we have -108 one must be negative, and the 3 in the 2nd term (3n) is positive so:

(n + 12)(n - 9) = 0   Is our factored equation.

Our smallest number is 9, so n = 9

Our second number is n + 3 and 9 + 3 = 12

So our 2 integers are 9, 12, there sum would be 9 + 12 = 21

Option A.

Could someone please let me know these answers , thank you :)

Answers

Answer:

1: CD and BC

2: CE and AC

3: AE , AB , BD, DE

4: AD and BE

There you go!

Answer:

1) COB and DOC

2) EOC and AOC

3) AOB, AOE, EOD, and BOD

4) BOE and AOD

Step-by-step explanation:

An acute angle less than 90 degrees

An obtuse more than 90 degrees

A right angle is 90 degrees

A straight angle is a 180 degrees

Which of the following expressions is equivalent to (7)(7)(7)?

7 · 3
3 7
(7) 3
3 · 7

Answers

Answer:

[tex]7^{3}[/tex]

Step-by-step explanation:

Hope this helps! Pls consider marking my answer Brainliest! it would mean a lot!

Answer:

7^3

Step-by-step explanation:

(also happy pride month!! ️‍)

What is

100 + 100
Please I can't solve it.

Answers

Answer:

200

Step-by-step explanation:

Answer:

100+100 is 200 because if you add 100 to another 100 you will get 200 :)

PLEASE HELP ME!!!!!!!!!!

Answers

Domain=0,4,-1,-3,-4
Range=2,-2,3,0

CERTAIN ANSWERS ONLY!!! Please assist me, I will award you brain crown. thank you so much in advance :)

Answers

Answer:

See below.

Step-by-step explanation:

  Statements:                                         Reasons:

1) [tex]\overline{AB}\cong\overline{CD}; \overline{CE}\cong\overline{AE}[/tex]                           Given

2) [tex]AB=CD;CE=AE[/tex]                          Definition of Congruence

3) [tex]AE+EB=AB;CE+ED=CD[/tex]      Segment Addition Postulate

4) [tex]CE+EB=CD[/tex]                                   Substitution Property

5) [tex]CE+ED=CE+EB[/tex]                        Transitive Property

6) [tex]ED=EB[/tex]                                           Subtraction Property (of Equality)

7) [tex]\overline{ED}\cong\overline{EB}[/tex]                                          Definition of Congruence

What is the best estimate for 34 2/3÷ 4 4/5?

Answers

Answer:

7.2

Step-by-step explanation:

Answer:

7 2/9; estimate is about 7

Step-by-step explanation:

convert mixed numbers to improper fractions

(whole number × denominator + numerator)

104/3 ÷ 24/5

copy dot flip

104/3 × 5/24

multiply numerators

520

multiply numerators

72

520/72

convert back to mixed numbers

7 16/72

simplify

7 2/9

Michael and four friends went trick-or-treating in his neighborhood they collected 525 pieces of candy if they split the candy evenly how many pieces of candy did each person get

Answers

Answer:

131.25

Step-by-step explanation:

Each of them would get 105 candies, as they are 5 in total.

Given that,
Michael and four friends went trick-or-treating in his neighborhood they collected 525 pieces of candy if they split the candy evenly how many pieces of candy did each person get is  to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

here,
Total number of candies = 525
Total person = 5
Each of them get = 525 / 5 = 105

Thus, each of them would get 105 candies, as they are 5 in total.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ1


Helppppppppp pleassseee

Answers

Answer:

D.) SSS

Step-by-step explanation:

Considering the proof tells us that many sides seem congruent to each other, I am led to believe these triangles are congruent due to SSS.

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

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