Question: 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

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 $\alpha=2$ and $\beta=7$.

(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.

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