SOLUTION: On average, a certain laptop lasts for 5 years. The length of time the laptop lasts is exponentially distributed. Find the probability that a laptop would last: a) More than 4 yea

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Question 1192995: On average, a certain laptop lasts for 5 years. The length of time the laptop lasts is exponentially distributed. Find the probability that a laptop would last:
a) More than 4 years
b) less than 2 years
c) between 4 and 6 years.

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
lambda=1/5 for the distribution
probability x>4 = e^(-4/5)=0.4493
fewer than two years is 1-e^(-2/5)=0.3297
more than 6 years is e^-1.2=0.3031 and more than 4 years is 0.4493
so the difference or 0.1462 is the answer

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