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

Reference no: EM13604933

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) Give the appropriate pdf

b) Calculate the cdf. F(X) = P(X<x)

c) What is the expected value and standard deviation in days?

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

e) Suppose a family of 6 each purchases a new personal handheld music device. What is the probablilty that all 6 of the devices last over 2100 hours?

Reference no: EM13604933

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