Question: Compute the probabilities for the following situations. These probabilities can be computed analytically, or you may write a computer program to generate the probabilities by

Compute the probabilities for the following situations. These probabilities can be computed analytically, or you may write a computer program to generate the probabilities by simulation.

(a) Out of a group of 23 students, what is the probability that 2 students share the same birthday?

(b) Out of a group of 100 students, what is the probability that 3 students share the same birthday?

(c) How many students must be in the class for the probability to be at least 50% that there are 2 who share a birthday in the same month?

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To compute the probabilities for the given situations we can use the Birthday Paradox which states that in a group of 12 people the probability that a... View full answer

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