Answer: 0.038
Step-by-step 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 :-
[tex]\sigms=\dfrac{p(1-p)}{N}[/tex]
Given: p= 03.3
N= 140
Then , the standard deviation of the normal curve will be :-
[tex]\sigma=\sqrt{\dfrac{0.3(1-0.3)}{140}}\\\\\Rightaarrrow\sigma=\sqrt{\dfrac{0.3\times0.7}{140}}\\\\\Rightaarrrow\sigma=0.038729833\approx0.038[/tex]
