The lifetime (in hours) of a light bulb manufactured by a
Chapter , Problem 11(choose chapter or problem)
The lifetime (in hours) of a light bulb manufactured by a certain company is a random variable with probability density function f (x) = 0 if x 500 5 105 x3 if x > 500. Suppose that, for all nonnegative real numbers a and b, the event that any lightbulb lasts at least a hours is independent of the event that any other light bulblasts at least b hours. Find the probability that, of six such light bulbs selected atrandom, exactly two last over 1000 hours.
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