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In: Statistics and Probability

A stockbroker has a large number of clients. The proportion of clients with whom she does...

A stockbroker has a large number of clients. The proportion of clients with whom she does not communicate during a given month has the beta distribution with parameters α = 6 and β = 2. Determine the probability that, during a given month, the percentage of clients with whom the broker does not communicate will be

a) at least 60%.

b) between 70% and 80%.

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