[R] How do I use R to model this exponential random variable problem?

BowlesMcCann lemon_and_lime7 at hotmail.com
Sun Mar 8 20:42:23 CET 2009

Suppose a house is cleaned by three people in succession. The time it  takes
each cleaner in hours is an Exp(0.5). Assume that the time required for each
cleaner is independent. How would I use simulation in R to estimate the
probability that it takes longer than a total of 5 hours for the house to be
cleaned by the three??

Many thanks.
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