# Question: The distribution of X the life of a transistor in

The distribution of X, the life of a transistor, in hours, is approximated by a triangular distribution as follows:

(a) What is the value of a?

(b) Find the expected value of the life of transistors.

(c) Find the CDF, FX(b), for this density. Note that this must be defined for all b between plus and minus infinity.

(d) If X represents the random variable, the life of a transistor, let Z = 3X be a new random variable. Using the results of (c), find the CDF of Z.

(a) What is the value of a?

(b) Find the expected value of the life of transistors.

(c) Find the CDF, FX(b), for this density. Note that this must be defined for all b between plus and minus infinity.

(d) If X represents the random variable, the life of a transistor, let Z = 3X be a new random variable. Using the results of (c), find the CDF of Z.

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