T job. The five wait d the bus are a random bution on the interva etermine the pdf a

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A friend of ours takes the bus five days per week
to her job. The five waiting times until she can
board the bus are a random sample from a uniform
distribution on the interval from 0 to 10 min.
a. Determine the pdf and then the expected
value of the largest of the five waiting times.
b. Determine the expected value of the differ-
ence between the largest and smallest times.
c. What is the expected value of the sample
median waiting time?
d. What is the standard deviation of the largest
time?
Transcribed Image Text:A friend of ours takes the bus five days per week to her job. The five waiting times until she can board the bus are a random sample from a uniform distribution on the interval from 0 to 10 min. a. Determine the pdf and then the expected value of the largest of the five waiting times. b. Determine the expected value of the differ- ence between the largest and smallest times. c. What is the expected value of the sample median waiting time? d. What is the standard deviation of the largest time?
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