Question

Help!!!

Answer 1

Answer:

The mean of the distribution = 76.05

The standard deviation of this distribution = 5.159

Step-by-step explanation:

Given:

The true proportion of voters in the county who support a new fire district is =0.65

sample size n=117.

Solution:

The mean of the distribution:

The mean of the distribution is given by  n * p

where

n= sample size

p=  probability of success on an individual trial.

Substituting the values , we get

Mean=117 *0.65

Mean=76.05

Standard deviation of this distribution:

$\sigma=\sqrt{np(1-p)$

$\sigma=\sqrt{117(0.65)(1-0.65)$

$\sigma=\sqrt{117(0.65)(0.35)$

$\sigma=\sqrt{26.6175$

$\sigma= 5.159$