Approximate Binomial Probabilities Using the Normal Distribution
-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) $\mathrm { P } ( \mathrm { x } \leq 23.5 )$
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 binomial probabilities using the normal distribution, a continuity correction is applied. For $P(x \leq 23)$ in a binomial distribution, the equivalent normal approximation is $P(x \leq 23.5)$ to account for the continuity correction, ensuring that the entire value of 23 is included in the calculation.

Approximate Binomial Probabilities Using the Normal Distribution -Assuming That All P(x≤23)P ( x \leq 23 )P(x≤23)

Approximate Binomial Probabilities Using the Normal Distribution
-Assuming That All $P ( x \leq 23 )$