Question

An urn contains 15 red balls, 10 black balls and 25 white balls.
10 balls are randomly picked. We define

to random variables N as the number of black balls picked and to B
as the number of white balls picked.

a)Calculate the joint mass function of N and B.

b)Calculate the joint distribution function of N and B.

Answer #1

The urn contains 15 red balls, 10 black balls and 25 white balls. 10 balls are randomly picked (without replacement)

N - the number of black balls picked

B - the number of white balls picked

a) There are a total of balls. The number of ways of choosing 10 balls from 50 is .

The number of ways of choosing n black balls is

The number of ways of choosing b white balls is

The joint mass function of N and B is

b) The joint distribution function of N and B is

We cannot get a closed form expression for the above sum.

An urn contains 1 white, 2 black, 3 red, and 4 green balls. If 6
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(calculate this value directly by using the probability mass
function from part a).

One urn contains 10 red balls and 10 white balls, a second urn
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red balls and 10 white balls. An urn is selected at random, and a
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answer.

An urn contains two red balls and three white balls.
If a ball is chosen at random, what is the probability that it
is white?
Group of answer choices
0
1
2/5
1/5
3/5
An urn contains two red balls and three white balls.
Suppose two balls are drawn randomly. What is the probability
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Group of answer choices
1/10
3/20
6/20
9/20
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Urn 1 contains 7 red balls and 3 black balls. Urn 2 contains 4
red balls and 1 black ball. Urn 3 contains 4 red balls and 3 black
balls. If an urn is selected at random and a ball is drawn, find
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enter your answer as a decimal rounded to 3 decimal places

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red ball and 3 black balls. Urn 3 contains 4 red balls and 2
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drawn, find the probability that it will be red.
Enter your answer as a fraction in simplest form or a decimal
rounded to 3 decimal places.
P(red)=

Urn 1 contains 7 red balls and 3 black balls. Urn 2 contains 1
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Enter your answer as a fraction in simplest form or a decimal
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We have two urns: Urn A contains 6 red balls and 4 white balls,
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