A particular class has had a history of low attendance.

Chapter , Problem 39

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QUESTION:

A particular class has had a history of low attendance. The annoyed professor decides that she will not lecture unless at least k of the n students enrolled in the class are present. Each student will independently show up with probability Pg if the weather is good, and with probability Pb if the weather is bad. Given the probability of bad weather on a given day, obtain an expression for the probability that the professor will teach her class on that day.

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QUESTION:

A particular class has had a history of low attendance. The annoyed professor decides that she will not lecture unless at least k of the n students enrolled in the class are present. Each student will independently show up with probability Pg if the weather is good, and with probability Pb if the weather is bad. Given the probability of bad weather on a given day, obtain an expression for the probability that the professor will teach her class on that day.

ANSWER:

Step 1 of 3

Given:

The professor would teach if there are at least k students of n in the class.

The day can have bad weather or good weather on any given day.

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