Q.3 A function h(x) is given below. h(x)= (a) Test/check/prove whether h(x) is a valid CDF. (b) Obtain the corresponding pdf. (c) What is the probability that wait time is exactly 4 hours, if model represents the wait time for service calls in hours? (-) a 1-exp « a>0,m>0, x>0 (d) If experience indicates that the wait time generally exceeds 2 hours, what is the probability that the wait time will be less than 3 hours on any day? [answer will be in terms of a and m].

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