A jury pool has 17 men and 24 women, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random, find the following probabilities:
Give all answers accurate to six decimal places.

a) all men
b)all women
c) 8 men 4 women
d) 6 men 6 women

Answers

Answer 1

Answer:

since [tex]17+24=41[/tex]

a) [tex]\frac{\binom{17}{12}}{\binom{42}{12}}[/tex]

b) [tex]\frac{\binom{24}{12}}{\binom{42}{12}}[/tex]

c) [tex]\frac{\binom{17}{8} \cdot \binom{24}{4}}{\binom{42}{8}\cdot\binom{36}{4}}[/tex]

d) [tex]\frac{\binom{17}{6}\cdot\binom{24}{6}}{\binom{17}{6}\cdot\binom{36}{6}}[/tex]

Just calculate these. If there is anything wrong just let me know.


Related Questions

which expression is represented by the diagram? O-6-(-4) O -6-4 O -10-4 O -10-(-4)​

Answers

Answer is -10 -4 your welcom

If a hotel has 126 rooms. 4 floors in all . Ok if 334 rooms have been cleaned how many are left to be cleaned

Answers

Answer:

170 rooms left to clean.

Step-by-step explanation:

If you are implying that there are 126 rooms for each floor of the 4 floors total.

Given the scenario that there are 126 rooms for each floor with 4 floors total with 334 of the rooms cleaned. The rooms left to clean are calculated by finding the difference between the total amount of rooms, and the rooms cleaned.

This relationship can be given by:

#total rooms - #cleaned rooms = #rooms left to clean.

The total rooms are found by multiplying the number of floors by the number of rooms on each floor: 126 × 4 = 504 rooms total.

Now we have all the variables needed, and can solve for the missing one:

(126×4) - (334) = #rooms left to clean

504 - 334 = 170 = #rooms left to clean

How is 727.526 in word form

Answers

Answer:

seven hundred twenty-seven and five hundred twenty-six thousandths

Step-by-step explanation:

Hope this helps:)

How do you do this question?

Answers

For A to B, or segment AB, we have the points (1,1) and (4,3). (x1, y1) = (1,1) and (x2, y2) = (4,3);

x = 1 + t(4 - 1)

y = 1 + t(3 - 1)

A to B => (x = 1 + 3t, y = 1 + 2t)

We can apply a similar process for BC and AC. For BC we have (x1, y1) = (4,3) and (x2,y2) = (1,7);

x = 4 + t(1 - 4)

y = 3 + t(7 - 3)

B to C => (x = 4 - 3t, y = 3 + 4t)

(x1, y1) = (1, 1) and (x2, y2) = (1, 7);

x = 1 + t(1 - 1)

y = 1 + t(7 - 1)

A to C => (x = 1, y = 1 + 6t)

Here is your graph of the triangle. Desmos is a really great tool to use;

Big chickens: The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1535 grams and standard deviation 169 grams. Use the TI-84 Plus calculator to answer the following. (a) What proportion of broilers weigh between 1136 and 1243 grams? (b) What is the probability that a randomly selected broiler weighs more than 1600 grams? (c) Is it unusual for a broiler to weigh more than 1710 grams? Round the answers to at least four decimal places. Part 1 of 3 The proportion of broilers that weigh between 1136 and 1243 grams is .

Answers

Answer:

(a) 0.0329

(b) 0.3502

(c) It is not unusual for a broiler to weigh more than 1710 grams.

Step-by-step explanation:

Using the TI-84 Plus calculator:

z-score is z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

mean is 1535 grams and standard deviation is 169 grams.

(a) What proportion of broilers weigh between 1136 and 1243 grams?

For x = 1136 grams

z = (x-μ)/σ

= 1136 - 1535/169

= -2.36095

Determining the probability value from Z-Table:

= P(x = 1136)

= P(z =-2.36095)

= 0.0091142

For x = 1243 grams

z = (x-μ)/σ

= 1243 - 1535/169

= -1.72781

Determining the probability value from Z-Table:

P(x = 1243) = 0.042011

The proportion of broilers weigh between 1136 and 1243 grams is calculated as:

P(x = 1243) - P(x = 1136)

= 0.042011 - 0.0091142

= 0.0328968

≈ 0.0329

(b) What is the probability that a randomly selected broiler weighs more than 1600 grams?

For x = 1600 grams

z = (x-μ)/σ

= 1600 - 1535/169

= 0.38462

Determining the Probability value from Z-Table:

P(x<1600) = 0.64974

P(x>1600) = 1 - P(x<1600) = 0.35026

The probability that a randomly selected broiler weighs more than 1600 grams is 0.3502

(c) Is it unusual for a broiler to weigh more than 1710 grams?

For x = 1600 grams

z = (x - μ)/σ

= 1710 - 1535/169

= 1.0355

P-value from Z-Table:

P(x < 1710) = 0.84978

P(x > 1710) = 1 - P(x < 1710) = 0.15022

From the above calculation, it is not unusual for a broiler to weigh more than 1710 grams because 15.022% of the broilers weigh 1710 grams.

evaluate the exponent 4 the power of 3


1. 12

2. 81

3. 7

4. 64
________________________________
ps I said 4 to the power of because I put a tiny 3 next to the 4​

Answers

I think the answer 64

Answer:

64 or 81

Step-by-step explanation:

If it is 4^3 it would be 4*4*4=64

If it is 3^4 it would be 3*3*3*3=81

(I don't know which one your asking about so I put both)

Can someone help me please

Answers

Answer:

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

You get this equation when you plug in the values to find out the y intercept.

A boy gets 560 marks out of 700. What is the percentage of his marks?​

Answers

80 (eighty) percent

Answer:

80%

Step-by-step explanation:

lets say he gets x%, which is x/100.

then the equation is: 560/700=x/100

and to solve it, first multiply each side by 700: 560=7x

then divide both sides by 7, and you get: x=80

so the answer is 80%

How do you do this question?

Answers

Answer:

D and E

Step-by-step explanation:

y = (x + 1)²

If x = t + 1, then y = (t + 1 + 1)² = t² + 4t + 4.

If x = e²ᵗ + 1, then y = (e²ᵗ + 1 + 1)² = e⁴ᵗ + 4e²ᵗ + 4.

If x = cos t, then y = (cos t + 1)² = cos²t + 2 cos t + 1.

If x = t − 1, then y = (t − 1 + 1)² = t².

If x = t, then y = (t + 1)² = t² + 2t + 1.

Peter has a part time job in factory and he can work 6 1/2 hours a day while his friend Joseph can work 1 2/3 hours more than Peter.how many hours can Joseph work more than Peter?

Answers

Given parameters:

Number of hours worked by Peter = 6.5hrs

His friend Joseph works [tex]1\frac{2}{3}[/tex] hours more than Peter;

Unknown:

Number of hours Joseph can work more than Peter = ?

This problem is pretty straight forward.

We see from the given parameters, it was explicitly stated that Joseph, the friend of Peter works [tex]1\frac{2}{3}[/tex] more hours .

Therefore, Peter's friend worked [tex]1\frac{2}{3}[/tex] more hours.

I don't understand this question can you help me pls?

Answers

Answer:

the answer for the number of stickers in all 4 boxes is 1200.

Step-by-step explanation:

there are 100 stickers in each roll and a box has 3 rolls. There are 12 rolls in total so you would do 100 X 12 which is 1200.


Four friends made 55 cupcakes and shared them equally.
How many cupcakes did each friend get?

Answers

The answer would be 13.75 so 13 cupcakes each with leftovers

Out of the 55 cupcakes shared equally among four friends each friend will have 13 cupcakes.

What is the unitary method?

A unitary method is a mathematical technique for finding the value of a single unit and then deriving the required units by multiplying with the single unit.

To find how many cupcakes each friend gets we can use the unitary method.

Given four friends made 55 cupcakes, therefore each friend can have (55/4) = 13.75 cupcakes, But the no. of cupcakes should be integers.

∴ Each friend can have 13 cupcakes.

learn more about unitary method here :

https://brainly.com/question/22056199

#SPJ2

Find the slope of (-3,9) and (-3,-5)

Answers

Answer:

undefined

Step-by-step explanation:

the slope is found by finding the change in y over the change in x. in this instance, you can do 9--5/-3--3... which is the same as 9+5/-3+3. the result is 14/0. Any fraction that has a denominator of zero is undefined, so the line would be straight up and down.

If this helped, don't forget to mark it the brainliest:) have a nice day

The sum of three integers is 92. The second number is three times the first number. The third number is ten less than
twice the first number. Find the integers.

Answers

hope this makes sense

Moses draws a picture that measures 8 inches by 7 inches. What is the area of the picture?

Answers

Answer:

I'm pretty sure its 56 inches squared  

square root of 5, 0.6, 4/9, 0.7, square root of 2

Answers

1: 2.23
2: 0.77
3: 2/3 or 0.6
4: 0.83
5: 1.41

A student claims that 83.8-5 is greater than 1.

Is this correct?

Answers

Answer:

No

Step-by-step explanation:


PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((

Answers

Answer: 2/5 = 40%

Step-by-step explanation: 2/5 5 (divided) by 25 = 40%

Answer:

40%

2/5 are shaded and if you divide 5 by 2 and add a decimal, and change it into a percent, you get 40%

Jenna buys water from a store which allows you to bring your own containers of water and fill them up. The only catch is that you must honestly type into the store's computer how many gallons of water you took in total, written as a decimal, and then pay the amount the computer indicates.

Today, Jenna takes four containers with her. The first has a 3/4 gallon capacity, the second has a 1/8 gallon capacity, the third has a 4/5 gallon capacity, and the fourth has a 17/125 gallon capacity. She fills up all of the containers with water. What decimal should Jenna type into the computer?

Answers

Answer:

1.811

Step-by-step explanation:

To get the decimal Jenna should type into the computer you simply have to get the decimal value of each fraction and add them all together.

[tex]\frac{3}{4}=.75[/tex]

[tex]\frac{1}{8} =.125[/tex]

[tex]\frac{4}{5}=.8[/tex]

[tex]\frac{17}{125}=.136[/tex]

Then just add all the decimals together.

Please help meeeeeee!!!!!! 4th time posting this

Answers

Answer:

70 cds in 2022

Step-by-step explanation:

each year number of dvds being sold is decreasing by 15. In 2010, it was 250. 5 years later, it was 175.

250-175=75.

75/5=15.

15x7=105.

175-105=70.

in 2010 it was 250 and 250+150=400.

in 2000, it was y=400-15x

3.
Name the image
Line
Line segment
Ray angle

Answers

Answer:

ray

Step-by-step explanation:

Which question is different?

Answers

The question “what is the absolute value of 3?” Is different than the other ones because the other questions are all asking about how far -3 is from 0 but “what is the absolute value of 3?” Is not

Sam earns $50.25 each week working a part time job. He works the same amount of
time each day for 5 weeks. What is the total amount of money Sam earns during the 5 week period?

Answers

Answer:

$251.25

Step-by-step explanation:

50.25*5= 251.25

What is the solution for the equation?

-5/2 = 3/4 + n

Answers

Answer: N= -1/4

Step-by-step explanation:

2 can go into 5 2 times which give you 2 wholes and you have 1 left over

Since you have 3/4 that extra one left would give you a whole because you can add it to the 3/4.

16+y/8=25. solve. and explain.

Answers

Answer:

184

Step-by-step explanation:

16+y/8 =25

16+y=25 X 8

16 + y =200

y=200-16

y = 184

PLEASE HELP ME FAST
1. Given the diagram to the right and information below, determine which lines, if any are parallel. State the converse that justifies your answer

Answers

Answer:

Step-by-step explanation:

              Given                   Parallel lines                 Converse

a). ∠13 ≅ ∠17                           a║c                  Corresponding angles

b). ∠4 ≅ ∠9                             b║e                  Exterior alternate angles

c). m∠19 + m∠22 = 180°         a║b                  Same side exterior angles

d). ∠8 ≅ ∠19                                                     Vertical angles.

e). ∠10 ≅ ∠23                         b║c                   Alternate angles

f). m∠14 + m∠17 = 180°           a║c                   Same side Interior angles

Seed are often treated with fungicides to protect them in poor draining, wet environments. A small-scale trial, involving five treated and five untreated seeds, was conducted prior to a large-scale experiment to explore how much fungicide to apply. The seeds were planted in wet soil, and the number of emerging plants were counted. If the solution was not effective and four plants actually sprouted, what is the probability that a b c all four plants emerged from treated seeds

Answers

Answer:

2.38%

Step-by-step explanation:

Given that:

The population size involving numbers of treated and untreated seeds N  = 10

the number of seeds that are treated which are observed = 5

the number of seeds that sprouted 'n' = 4

Now, use the method of hypergeometric probability, we have the formula:

[tex]p(y) = \dfrac{(^r_y)(^{N-r}_{n-y})}{(^N_n)}[/tex]

[tex]p(4) = \dfrac{(^5_4)(^{5}_{0})}{(^{10}_4)}[/tex]

[tex]p(4) = \dfrac{\dfrac{5!}{4!(5-4)!}* \dfrac{5!}{0!(5-0)!} }{\dfrac{10!}{4!(10-4)!} }[/tex]

[tex]p(4) = \dfrac{\dfrac{5!}{4!}* \dfrac{5!}{(5)!} }{\dfrac{10!}{4!(6)!} }[/tex]

[tex]p(4) = \dfrac{5*1 }{210}[/tex]

p(4) = 0.0238

p(4) = 2.38%

A school has a total of 900 pupils 400 are boys the rest are girls. What's the ratio of boys to girls? .

Answers

Answer:

it should be 4:5 I hope that helps

The answer is 4:5




Your welcome pls tell me if im wrong

please help! Will mark you as BRAINLIEST!!!!!

Answers

Answer:

2x²-2x+5y doing the math reply if you need explanations

2x^2-2x+5y is the answer


Rename 7/12 and 1/8 using the least common denominator Please help

Answers

Answer:

14/24 and 3/24

Step-by-step explanation:

The LCM is 24, so divide the denominator by the LCM, and thats the number you multiply the numerator by

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