### Find the conditional probability

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Question: 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.

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