7-58. The proportion of defective parts produced by a metal stamping machine follows a beta distribution with

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7-58. The proportion of defective parts produced by a metal stamping machine follows a beta distribution with α = 1 and β = 10. Find:

(a) The probability that the proportion of defective units exceeds 5%

(b) The probability that the proportion defective is more than one standard deviation above the mean

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