Question

-12 points v1 WACKERLYSTAT7 4.E.089. My Notes Suppose Y has an exponential distribution and PCY > 2) = 0.0183. (a) What is B - E(V)? (Round your answer to one decimal place.) (b) What is P(Y $ 1.1)? (Round your answer to four decimal places.) PLY $ 1.1) = Need Help? Read It Watch It Talk to a Tutor 2. -12 points WACKERLYSTAT7 4.E.091. My Notes The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second). (a) Find the probability that the demand will exceed 240 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.) (b) What water-pumping capacity, in cubic feet per second, should the station maintain during early afternoons so that the probability that demand will exceed capacity on a randomly selected day is only 0.08? (Round your answer to two decimal places.) cfs Need Help? Read It Talk to a Tutor

Answer 1

a)

$\beta$ =-2/ln(0.0183)= 0.5

b)

P(X<1.1)=1-exp(-1.1/0.5)=

0.8892

2)

a)

P(X>240)=1-P(X<240)=1-(1-exp(-240/100))=

0.0907

b)

92th percentile =-100*ln(1-92/100)=

252.57