Question

for a sample size of 140 and a proportion of 0.3 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.

Answer 1

0.039

Explanation:

A P E X

Answer 2

Answer: 0.038

Explanation:

We know that for a sample size of N and a proportion of p , the standard deviation of the normal curve that can be used to approximate the binomial probability histogram is given by :-

`\sigms=(p(1-p))/(N)`

Given: p= 03.3

N= 140

Then , the standard deviation of the normal curve will be :-

`\sigma=\sqrt{(0.3(1-0.3))/(140)}\\\\\Rightaarrrow\sigma=\sqrt{(0.3*0.7)/(140)}\\\\\Rightaarrrow\sigma=0.038729833\approx0.038`