Question

We can use the binomial approximation to the binomial distribution if:

A. np>10 and n(1–p)>10
B. When sampling from a normal population
C.n>40
D. n<40

Answer 1

The binomial approximation to the binomial distribution can be used when np > 10 and n(1-p) > 10.

Step-by-step explanation:

The binomial approximation to the binomial distribution can be used when np > 10 and n(1-p) > 10. This means that both the mean and the standard deviation of the binomial distribution must be sufficiently large.

For example, if we have a binomial distribution with a large sample size and a small probability of success, we can use the binomial approximation to the normal distribution to simplify calculations.

This approximation is valid when the conditions np > 10 and n(1-p) > 10 are met.