The time to failure of a battery in hours of a personal

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The time to failure of a battery in hours of a personal handheld music device follows an exponential distribution. The expected battery life is 2000 hours.

a) Calculate the cumulative density function, F(x)=P(X<x).

b) What is the probability that a randomly chosen device has a battery that lasts over 2100hours?

c) Suppose a family of 6 each purchases a new personal handheld music device. What is the probability that 5 or more of the devices last over 2100 hours?

Reference no: EM13631718

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