You are waiting for the shuttle bus (silver 13) back to your house at Chicago from campus for the X'as family reunion. Assume that the time interval (in minutes) between two buses follows a uniform distribution Unif (0, 20). Let X denote the waiting time. Find the expectation of the waiting time for the bus. What is the probability you will have to wait for more than 19 minutes to board the bus? What is the moment generating function of X?

MATLAB: An Introduction with Applications
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You are waiting for the shuttle bus (silver 13) back to your house at Chicago from campus for the
X'as family reunion. Assume that the time interval (in minutes) between two buses follows a
uniform distribution Unif (0, 20). Let X denote the waiting time.
Find the expectation of the waiting time for the bus. What is the probability you will have to wait
for more than 19 minutes to board the bus? What is the moment generating function of X?
Transcribed Image Text:You are waiting for the shuttle bus (silver 13) back to your house at Chicago from campus for the X'as family reunion. Assume that the time interval (in minutes) between two buses follows a uniform distribution Unif (0, 20). Let X denote the waiting time. Find the expectation of the waiting time for the bus. What is the probability you will have to wait for more than 19 minutes to board the bus? What is the moment generating function of X?
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