Suppose that three balls are randomly chosen without replacement from a box containing 4 white and 7 black balls. Let Xi be 1 if i th ball selected is white, ant let it be 0 otherwise.a. Write down Probability mass functions of X1, X2 and X3 in tabular form;b. Write down the joint probability mass function of X1, X2;c. Find the joint probability mass function of X1, X2 and X3. Repeat this problem, when the ball is replaced in the box before the next selection. Please justify your answers. Thanks!

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
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Suppose that three balls are randomly chosen without replacement from a box containing 4 white and 7 black balls. Let Xi be 1 if i th ball selected is white, ant let it be 0 otherwise.a. Write down Probability mass functions of X1, X2 and X3 in tabular form;b. Write down the joint probability mass function of X1, X2;c. Find the joint probability mass function of X1, X2 and X3. Repeat this problem, when the ball is replaced in the box before the next selection. Please justify your answers. Thanks!

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