In the Gregorian calendar, each year has either 365 days (a normal year) or 366 days (a

Chapter 4, Problem 2

(choose chapter or problem)

In the Gregorian calendar, each year has either 365 days (a normal year) or 366 days (a leap year). A year is randomly chosen, with probability 3/4 of being a normal year and 1/4 of being a leap year. Find the mean and variance of the number of days in the chosen year.

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