Assuming that all conditions are met to approximate a binomial probability distribution with the standard normal distribution, then to compute $P ( x \leq 23 )$ from the binomial distribution we must compute as the normal approximation.
A) $P ( x \leq 23.5 )$
B) $\mathrm { P } ( \mathrm { x } \geq 23.5 )$
C) $\mathrm { P } ( \mathrm { x } \leq 22.9 )$
D) $\mathrm { P } ( \mathrm { x } \leq 23.1 )$

Question

Quizplus · Accepted Answer

When approximating a binomial distribution with a normal distribution, a continuity correction is applied. For $P(x \leq 23)$, the correct continuity correction is to compute $P(x \leq 23.5)$ to include the entire interval of values that round to 23.

Assuming That All Conditions Are Met to Approximate a Binomial P(x≤23)P ( x \leq 23 )P(x≤23)

Assuming That All Conditions Are Met to Approximate a Binomial $P ( x \leq 23 )$