Question

For a sample size of 115 and a population parameter of 0.1,what is the standard deviation of the normal curve that can be used to approximate the binomial probability histogram. Round your answer to three decimal places

A.0.028

B.0.054

C.0.043

D.0.035

Answer 1

A) 0.028

Explanation:

Given:

Sample size, n = 115

Population parameter, p = 0.1

The X-Bin(n=155, p=0.1)

Required:

Find the standard deviation of the normal curve that can be used to approximate the binomial probability histogram.

To find the standard deviation, use the formula below:

`\sigma = \sqrt{(p(1-p))/(n)}`

Substitute figures in the equation:

`\sigma = \sqrt{(0.1(1 - 0.1))/(115)}`

`\sigma = \sqrt{(0.1 * 0.9)/(115)}`

`\sigma = \sqrt{(0.09)/(115)}`

`\sigma = √(7.826*10^-^4)`

`\sigma = 0.028`

The Standard deviation of the normal curve that can be used to approximate the binomial probability histogram is 0.028