SOLUTION: the time takes a technician to fix a computer problem is exponentially distributed with a mean of 15 minutes. what is probability that ? a) it will take a technician less than 1

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Question 936031: the time takes a technician to fix a computer problem is exponentially distributed with a mean of 15 minutes. what is probability that ?
a) it will take a technician less than 10 minutes to fix the computer problem ?
b) it will take a technician between 10 to 15 minutes to fix a computer problem ?
Answer by reviewermath(1029) About Me  (Show Source):
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the time takes a technician to fix a computer problem is exponentially distributed with a mean of 15 minutes. what is probability that ?
a) it will take a technician less than 10 minutes to fix the computer problem ?
probability = 1 - exp(-10/15) = highlight%280.4866%29 [to 4 decimal places]
b) it will take a technician between 10 to 15 minutes to fix a computer problem ?
probability = exp(-10/15) - exp(-15/15) = highlight%280.1455%29 [to 4 decimal places]