Ten percent of the population is left-handed. A class of 1800 students is selected. Convert the binomial probability $\mathrm { P } ( \mathrm { x } \geq 15 )$ to a normal probability by using the correction for continuity.
A) $\mathrm { P } ( \mathrm { x } \geq 14.5 )$
B) $\mathrm { P } ( \mathrm { x }

Question

Ten percent of the population is left-handed. A class of 1800 students is selected. Convert the binomial probability $\mathrm { P } ( \mathrm { x } \geq 15 )$ to a normal probability by using the correction for continuity.
A) $\mathrm { P } ( \mathrm { x } \geq 14.5 )$
B) $\mathrm { P } ( \mathrm { x } < 14.5 )$
C) $\mathrm { P } ( \mathrm { x } \leq 15.5 )$
D) $\mathrm { P } ( \mathrm { x } \geq 15.5 )$

Quizplus · Accepted Answer

When converting a binomial probability to a normal probability, the correction for continuity involves adjusting the discrete value by 0.5 to account for the continuous nature of the normal distribution. For $\mathrm { P } ( \mathrm { x } \geq 15 )$, the correct adjustment is to use $\mathrm { P } ( \mathrm { x } \geq 14.5 )$ to include all values starting just before 15.

Ten Percent of the Population Is Left-Handed P(x≥15)\mathrm { P } ( \mathrm { x } \geq 15 )P(x≥15)

Ten Percent of the Population Is Left-Handed $\mathrm { P } ( \mathrm { x } \geq 15 )$