Type i light bulbs function for a random amountof time

Chapter 7, Problem 7.64

(choose chapter or problem)

Type i light bulbs function for a random amountof time having mean i and standard deviationi, i = 1, 2. A light bulb randomly chosen from abin of bulbs is a type 1 bulb with probability p anda type 2 bulb with probability 1 p. Let X denotethe lifetime of this bulb. Find(a) E[X];(b) Var(X).

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