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.
-$\mathrm { n } = 59 \text { and } \mathrm { p } = 0.7$
A) Normal approximation is suitable.
B) Normal approximation is not suitable.

Question

Quizplus · Accepted Answer

The normal approximation to the binomial distribution is suitable when both np and n(1-p) are greater than 5. Here, np = 59 * 0.7 = 41.3 and n(1-p) = 59 * 0.3 = 17.7, both of which are greater than 5.

For the Binomial Distribution with the Given Values for N n=59 and p=0.7\mathrm { n } = 59 \text { and } \mathrm { p } = 0.7n=59 and p=0.7

For the Binomial Distribution with the Given Values for N $\mathrm { n } = 59 \text { and } \mathrm { p } = 0.7$