Methods2026 NHT Exam 2 Section A · Q10CAS active1 mark

Effect of increasing p on binomial mean and variance

Let $X \sim \operatorname{Bi}(n, p)$ , where $0.5 < p < 1$ .

For a particular value of $n$ , as $p$ increases

1 mark

\operatorname{E}(X)

increases and

\operatorname{var}(X)

increases.B

\operatorname{E}(X)

increases and

\operatorname{var}(X)

decreases.C

\operatorname{E}(X)

decreases and

\operatorname{var}(X)

increases.D

\operatorname{E}(X)

decreases and

\operatorname{var}(X)

decreases.

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