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

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

Option: b is the correct answer.

                            b. direct

Direct variation--

Two variables x and y are said to be in direct variation if there exist a constant k such that:

i.e. with the increase or decrease in one variable the other variable also increase or decrease.

Here the two quantities are:

Amount of money earned

Number of hours worked.

Since we know that the number of hour one will work more/less , more/less will be the amount of money earned.

i.e. the amount of money is calculated by the number of hours worked.

Hence, there will be a direct variation between the two quantities.