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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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].
Transcribed Image Text: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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