A keyboard for a personal computer is known to have a mean life of 5 years. The life of the…

A keyboard for a personal computer is known to have a mean life of 5 years. The life of the…

A keyboard for a personal computer is known to have a mean life of 5 years. The life of the keyboard can be modeled using an exponential distribution.

(a) What is the probability that a keyboard will have a life between 2 and 4 years?

(b) What is the probability that the keyboard will still function after 1 year?

(c) If a warranty is set at 6 months, what is the probability that a keyboard will need to replaced under warranty?

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