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:
[tex]\sigma=\sqrt{np(1-p)[/tex]
[tex]\sigma=\sqrt{117(0.65)(1-0.65)[/tex]
[tex]\sigma=\sqrt{117(0.65)(0.35)[/tex]
[tex]\sigma=\sqrt{26.6175[/tex]
[tex]\sigma= 5.159[/tex]
