Question

As the probability increases in a BINOMIAL distribution, what happens to the mean, standard deviation, and shape of the distribution?

Answer 1

In a binomial distribution, as the probability increases, the mean and standard deviation remain the same. The shape of the distribution becomes more symmetric and bell-shaped.

Step-by-step explanation:

In a binomial distribution, as the probability increases, the mean and standard deviation remain the same. The shape of the distribution, however, becomes more symmetric and bell-shaped.

For example, let's say we have a binomial distribution where the probability of success is 0.5 and the number of trials is 10. The mean would be 10 * 0.5 = 5, and the standard deviation would be sqrt(10 * 0.5 * 0.5) = 1.58.