A calculus class has 150 students. Assume there are 365 days in a year and note that

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A calculus class has 150 students. Assume there are 365 days in a year and note that 150/365 = 0.410959.

(a) What is the probability that at least one student is born on April 1?

(b) Let N be the number of days on which at least one student has a birthday. Find the expected value E N.

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