For the binomial distribution with the given values for n and p, state whether or not it is suitable to use the normal distribution as an approximation.
-$\mathrm { n } = 17 \text { and } \mathrm { p } = 0.5$
A) Normal approximation is suitable.
B) Normal approximation is not suitable.

Question

Quizplus · Accepted Answer

The normal approximation is suitable when both np and n(1-p) are greater than or equal to 5. Here, np = 17 * 0.5 = 8.5 and n(1-p) = 17 * 0.5 = 8.5, both of which are greater than 5.

For the Binomial Distribution with the Given Values for N n=17 and p=0.5\mathrm { n } = 17 \text { and } \mathrm { p } = 0.5n=17 and p=0.5

For the Binomial Distribution with the Given Values for N $\mathrm { n } = 17 \text { and } \mathrm { p } = 0.5$