Identify the expression for calculating the mean of a binomial distribution (n, p).
a) np(1-p)              b) np                c) n(1-p)                d) n²p       

Solution:

The binomial distribution is a discrete probability distribution, which can only result in a success or a failure. The Binomial theorem formula is used to calculate the probability. Some of the examples include finding the probability of heads after tossing a coin, probability of hitting the bullseye.

Let's look at the explanation to understand the problem.

Option a): np(1-p) is the expression for the variance of the binomial distribution. Hence it is incorrect.

Option c) & d): n(1-p) and n²p are incorrect answers.

Option b): np is the expression for the mean of the binomial distribution. Hence it is the correct answer.

Identify the expression for calculating the mean of a binomial distribution (n, p).

Summary:

The expression for the mean of the binomial distribution (n, p) is np. Hence, option b) is the correct option.