probability

 

1.      The lifetime of a car battery is exponentially distributed with a mean of 400 hours.

a.       Write down the probability density function for this distribution.

b.      What is the probability that the car battery fails in less than 100 hours?

c.       If the car battery has been on use for 400 hours without a failure, what is the probability of a failure in the next 120 hours?

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