The proportion of the work force of a large Detroit manufacturing firm that takes at least 1

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The proportion of the work force of a large Detroit manufacturing firm that takes at least 1 day's sick leave in a given work week is assumed to be the outcome of a random variable whose PDF is well-represented by a uniform distribution on the interval \([0, .10]\).

(a) In a random sample of eight work weeks, what is the probability that the maximum proportion of workers who take sick leave is \(\leq .05\) ?

(b) What is the probability that the sum of all eight sample observations will be between .25 and . 75?

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