Problem #10: Suppose that the waiting time x (in seconds) for the pedestrian signal at a particular street crossing is a random variable with the following pdf. f(x)={((7)/(65)(1-(x)/(65))^(6),0

Question

Problem #10: Suppose that the waiting time

x

(in seconds) for the pedestrian signal at a particular street crossing is a random variable with the following pdf.

f(x)={((7)/(65)(1-(x)/(65))^(6),0<=x<65),(0 otherwise ):}

If you use this crossing every day for the next 10 days, what is the probability that you will wait for at least 10 seconds on exactly 2 of those days? Problem #10: Round your answer to

4

decimals.

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