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