The time it takes a ski patroller to respond to an accident

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The time it takes a ski patroller to respond to an accident call has an exponential distribution with an average response time of 5 minutes. As part of ski patrollers' commitment to prevent an accident related fatalities, the ski patrollers' association has committed that ski patrollers would respond within 5 minutes.

a. What is the probability that it will take a ski patroller between 2 minutes to 4 minutes to respond to an accident call?

b. What is the probability that the ski patrollers' association fails to honor its commitment?

c. What is the probability that a ski patroller takes at most 2 minutes to respond to an accident call?

Reference no: EM13577629

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