Question

In a binomial experiment with n trials and probability of success p, if what condition is met?

a. np < 5
b. n(1 - p) < 5
c. np > 5
d. n(1 - p) > 5

Answer 1

The condition that needs to be met in a binomial experiment with n trials and probability of success p is np > 5.

Step-by-step explanation:

In a binomial experiment with n trials and probability of success p, the condition that needs to be met is np > 5. This condition ensures that the shape of the binomial distribution is similar to the shape of the normal distribution. For example, if you have 10 trials (n = 10) and the probability of success is 0.6 (p = 0.6), then np = 10 * 0.6 = 6, which satisfies the condition np > 5.