The number of repairs required by a new product each month is exponentially distributed with an average

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The number of repairs required by a new product each month is exponentially distributed with an average of 8.
(a) What is the probability density function for this distribution?
(b) Find the expected number of repairs per month.
(c) Find the standard deviation.
(d) What is the probability that the number of repairs per month will be between 5 and 10?

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