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Suppose X has an exponential distribution with probability density function: fo) = 2 le-21x for x > 0. Then P(X> 1 1 | X丬0) is. O 1 A doctor knows 17 % of all her patients are late for their appointments. Given 6 randomly selected patients, what is the approximate probability that exactly 3 of them are late for their appointments? (Please answer to 4 decimal places). Number A rock concert producer has scheduled an outdoor concert. If it is warm that day, she expects to make a $17,000 profit. If it is cool that day, she expects to make a $3,000 profit. If it is very cold that day, she expects to suffer a $11,000 loss. Based upon historical records, the weather office has estimated the chances of a warm day to be 0.5, the chances of a cool day to be 0.2. What is the producers expected profit? 5,800 O 7,946 6,873 O 4,582 ro- Let X be a r.v. with a pdf f(x) defined as:f(z) - 2<1 ] Find EX). (4 decimal accuracy) ー r5 Number

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