Presume we have two independent binomial random variables, Microeconomics

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Presume we have two independent binomial random variables

Presume we have two independent binomial random variables that both have success probability in a single trial of p. The random variable X denotes the number of successes in three trials, whereas the random variable Y represents the number of successes in two trials. We form a new random variable Z = X + Y.

1. What is the expected value of Z?

2. What is its probability distribution of Z?

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Microeconomics: Presume we have two independent binomial random variables

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Microeconomics: Presume we have two independent binomial random variables

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