There are 21 students in a probability class at a liberal arts college and the time (in minutes) needed to grade a randomly chosen exam paper is a random variable with cdf F(x) 1 (3 x) 2 for x 3 ( 0 otherwise) a) What is the pdf of the shortest amount of time it takes to grade any of the papers b) What is the pdf of the median amount of time it takes to grade any single exam amongst the 21papers

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Question: There are 21 students in a probability class at a liberal arts college and the time (in minutes) needed to grade a randomly chosen exam

There are 21 students in a probability class at a liberal arts college and the time (in minutes) needed to grade a randomly chosen exam paper is a random variable with cdf F(x) = 1-(3/x)² for x>3 (= 0 otherwise).

a) What is the pdf of the shortest amount of time it takes to grade any of the papers?

b) What is the pdf of the median amount of time it takes to grade any single exam amongst the 21papers?

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