Question: The time in which a student starts his homework each night-during a seven day week-is uniformly distributed between 6 PM and 8 PM. Let X

The time in which a student starts his homework each night-during a seven day week-is uniformly distributed between 6 PM and 8 PM. Let X and Y denote, respectively, the earliest and latest times that he starts his homework that week.
a. Find the density of X.
b. Find the density of Y.
c. Find the expected value of X.
d. Find the expected value of Y.

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