Question: 5.65 Suppose the proportion of error in code developed by a programmer, which varies from software to software, may be looked upon as a random

5.65 Suppose the proportion of error in code developed by a programmer, which varies from software to software, may be looked upon as a random variable having the beta distribution with α = 2 and β = 7.

(a) Find the mean of this beta distribution, namely, the average proportion of errors in a code from this engineer.

(b) Find the probability that a software developed by this engineer will contain 30% or more errors. 5.66 Show that when α > 1 and β > 1, the beta density has a relative maximum at x = α − 1 α + β − 2

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