Question: Topic: Conditional Probability and Conditional Expectation 3.2. Six nickels are tossed, and the total number N of heads is observed. Then N dimes are tossed,

Topic: Conditional Probability and Conditional Expectation

3.2. Six nickels are tossed, and the total number N of heads is observed. Then N dimes are tossed, and the total number Z of tails among the dimes is observed. Determine the mean and variance of Z. What is the probability that Z = 2?

Source: An Introduction to Stochastic Modelling | 4th Edition by Samuel Karlin, Mark Pinsky

**The final answer is already given in the book, P(Z = 2) = 0.29663, but I cannot determine how to compute for it. Please explain.

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