Assuming That All Conditions Are Met to Approximate a Binomial $P ( 12 \leq x \leq 15 )$

Multiple Choice

Assuming that all conditions are met to approximate a binomial probability distribution with the standard normal distribution, then to compute $P ( 12 \leq x \leq 15 )$ from the binomial distribution we must compute as the normal approximation.

A) $\mathrm { P } ( 11.5 < \mathrm { x } < 15.5 )$
B) $\mathrm { P } ( 12.5 < \mathrm { x } < 14.5 )$
C) $\mathrm { P } ( \mathrm { x } > 15.5 ) \text { and } \mathrm { P } ( \mathrm { x } < 11.5 )$
D) $\mathrm { P } ( \mathrm { x } > 12.5 ) \text { and } \mathrm { P } ( \mathrm { x } < 14.5 )$