Question

What is the standard deviation for a binomial distribution with p=q=1/2 and n=36

Answer 1

Answer:

3

Step-by-step explanation:

The mean of a binomial distribution is:

μ = np

And the standard deviation of a binomial distribution is:

σ = √(npq)

Given p = 1/2, q = 1/2, and n = 36:

σ = √(36 × 1/2 × 1/2)

σ = 3

Answer 2

The standard deviation for this binomial distribution is 3.

What is a binomial distribution?

In an experiment or survey that is performed numerous times, a binomial distribution can be thought of as the simple probability of an SUCCESS or FAILURE outcome.

Value of n = 36

Value of p and q = 1/2

Standard deviation = √(npq)

Standard deviation = √(36 * (1/2) * (1/2)

Standard deviation = 3

Hence the standard deviation of the binomial distribution is 3.

Learn more about binomials on:

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