Question: 5. X = Y.Z is a composite random variable that is a function of two independent random variables Y and Z. Y ~ Bernoulli(p) models

5. X = Y.Z is a composite random variable that is a function of two independent random variables Y and Z. Y ~ Bernoulli(p) models the event of any medical emergency occurring in the household during the year. Z ~ exp(0) models the total cost of household emergency events that do occur during the year. Derive the first and second moments of X as well as its variance. 5 points]

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