Expected number of days of the year


For a group of 120 people, assuming that each person is equally likely to have a birthday on each of 365 days in the year, compute

(a) The expected number of days of the year that are birthdays of exactly 4 people:

E[days with 4 birthdays]=

(b) The expected number of distinct birthdays:

E[distinct birthdays]=

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Basic Statistics: Expected number of days of the year
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