# Question

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.

## Answer to relevant Questions

Show that the structure function for a three-component system that functions if and only if component 1 functions and at least one of components 2 or 3 functions is given by Suppose that a system consists of two different, but independent, components, arranged into a series system. Further assume that the time to failure for each component has an exponential distribution with parameter θi, I = ...Consider a system consisting of five components, labeled 1, 2, 3, 4, 5. The system is able to function satisfactorily as long as at least one of the following three combinations of components has every component in that ...Consider a queueing system with two types of customers. Type 1 customers arrive according to a Poisson process with a mean rate of 5 per hour. Type 2 customers also arrive according to a Poisson process with a mean rate of 5 ...Consider Alternative 3 (tool cribs in Locations 1 and 3) for the example illustrated in Fig. 26.9. Derive E(T) for the tool crib in Location 3 by using the probability density functions of X and Y directly for this tool ...Post your question

0