Assuming that all conditions are met to approximate a binomial probability distribution with the standard normal distribution, then to compute $P ( x \geq 19 )$ from the binomial distribution we must compute as the normal approximation.
A) $\mathrm { P } ( \mathrm { x } \geq 18.5 )$
B) $\mathrm { P } ( \mathrm { x } \leq 18.5 )$
C) $\mathrm { P } ( \mathrm { x } \geq 19.1 )$
D) $\mathrm { P } ( \mathrm { x } \leq 18.9 )$

Question

Quizplus · Accepted Answer

When approximating a binomial distribution with a normal distribution, a continuity correction is applied. For $P(x \geq 19)$, the correct continuity correction is to compute $P(x \geq 18.5)$ to account for the fact that the normal distribution is continuous while the binomial distribution is discrete.

Assuming That All Conditions Are Met to Approximate a Binomial P(x≥19)P ( x \geq 19 )P(x≥19)

Assuming That All Conditions Are Met to Approximate a Binomial $P ( x \geq 19 )$