Problem
The length of time until a strike is settled is distributed uniformly from 0 to 10.5 days. (See the previous problem for an introduction to the uniform density.)
a. Find the probability that a strike lasts less than 1 day.
b. Find the probability that a strike lasts less than 6 days.
c. Find the probability that a strike lasts between 6 and 7 days.
d. Find the conditional probability that a strike lasts less than 7 days, given that it already has lasted 6 days.
e. Compare your answers with those from Problem 9.12.
Problem 9.12
The amount of time that a union stays on strike is judged to follow an exponential distribution with a mean of 10 days.
a. Find the probability that a strike lasts less than one day.
b. Find the probability that a strike lasts less than six days.
c. Find the probability that a strike lasts between six and seven days.
d. Find the conditional probability that a strike lasts less than seven days, given that it already has lasted six days. Compare your answer to part a.
The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.