Suppose that in a small island, all families have either 0, 1, or 2 children with probabilities 0.3, 0.4, and 0.3 respectively. Assume that the probability of having a boy or a girl is the same. Let the random variable X be the number of boys and the random variable Y be the number of girls. Compute the joint and the marginal probability mass function of X, and Y. Show the answer's steps, then fill the table with the correct values Questi Page 18

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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Question 8
Suppose that in a small island, all families have either 0, 1, or 2 children with probabilities 0.3,
0.4, and 0.3 respectively. Assume that the probability of having a boy or a girl is the same. Let the
random variable X be the number of boys and the random variable Y be the number of girls.
Compute the joint and the marginal probability mass function of X, and Y.
Show the answer's steps, then fill the table with the correct values
Page 18
Transcribed Image Text:Question 8 Suppose that in a small island, all families have either 0, 1, or 2 children with probabilities 0.3, 0.4, and 0.3 respectively. Assume that the probability of having a boy or a girl is the same. Let the random variable X be the number of boys and the random variable Y be the number of girls. Compute the joint and the marginal probability mass function of X, and Y. Show the answer's steps, then fill the table with the correct values Page 18
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