(Requires Calculus $\frac { p ( 1 - p ) } { n }$

question 8

Essay

(Requires calculus.)Let Y be a Bernoulli random variable with success probability Pr(Y = 1)= p. It can be shown that the variance of the success probability p is $\frac { p ( 1 - p ) } { n }$ Use calculus to show that this variance is maximized for p = 0.5.

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Definitions:

Therapeutic Treatment

Interventions and methods applied to aid in the healing or relief of psychological or physical ailments.

Cultural Gaps

The differences in cultural norms, values, and practices between individuals from different backgrounds or societies.

Ethnic Minority Utilization

The extent to which individuals from ethnic minority backgrounds access and use services and resources, often discussed in the context of healthcare.

Psychotherapy Services

Professional treatment techniques used to address and improve mental health and emotional well-being.