One of the steps involved with buying a home is a home inspection. We cannot be sure how much time it will take for inspecting a home, but know from experience that it does not take less than 30 minutes and no more than 150 minutes. Let’s assume that the service time is uniformly distributed between 30 and 150 minutes. Let X = time to inspect a house in minutes. [Be sure to show your calculations for parts (b) through (f).] a. Draw the probability distribution of X. b. What is the expected value of X? c. What is the probability that a house inspection will take less than 40 minutes or more than 2 hours?

One of the steps involved with buying a home is a home inspection. We cannot
be sure how much time it will take for inspecting a home, but know from experience that it
does not take less than 30 minutes and no more than 150 minutes. Let’s assume that the
service time is uniformly distributed between 30 and 150 minutes. Let X = time to inspect a
house in minutes. [Be sure to show your calculations for parts (b) through (f).]
a. Draw the probability distribution of X.
b. What is the expected value of X?
c. What is the probability that a house inspection will take less than 40 minutes or
more than 2 hours?