Ten percent of the population is left-handed. A class of 5350 students is selected. Convert the binomial probability $\mathrm { P } ( \mathrm { x } \leq 22 )$ to a normal probability by using the correction for continuity. A) $P ( x \leq 22.5 )$ B) $\mathrm { P } ( \mathrm { x } 22.5 )$ D) $\mathrm { P } ( \mathrm { x } \geq 21.5 )$

Question

Ten percent of the population is left-handed. A class of 5350 students is selected. Convert the binomial probability $\mathrm { P } ( \mathrm { x } \leq 22 )$ to a normal probability by using the correction for continuity.
A) $P ( x \leq 22.5 )$
B) $\mathrm { P } ( \mathrm { x } < 21.5 )$
C) $P ( x > 22.5 )$
D) $\mathrm { P } ( \mathrm { x } \geq 21.5 )$

Quizplus · Accepted Answer

The correction for continuity is applied when converting a discrete binomial probability to a continuous normal probability. For $P(x \leq 22)$, the correct continuous equivalent is $P(x \leq 22.5)$ to account for the entire value of 22 being included.

Ten Percent of the Population Is Left-Handed P(x≤22)\mathrm { P } ( \mathrm { x } \leq 22 )P(x≤22)

Ten Percent of the Population Is Left-Handed $\mathrm { P } ( \mathrm { x } \leq 22 )$