In the first number, 2 is in the thousand's place, it means two thousand.
in the second number, 2 is in the hundred's place. It means two hundred.
Answer:
197
Step-by-step explanation:
Sample proportion is; p^ = 12/50 = 0.24
Margin of error of 5% is given by the formula;
ME = (z_0.05) √[p^(1 - p^)/n]
Let's make n(number of sample) the subject.
n = ((z_0.05)/ME)²((p^)(1 - p^))
From tables, the z-score of 0.05 is 1.645
Thus;
n = ((1.645)/0.05)²(0.24(1 - 0.24))
n ≈ 197
Answer:
Mean of the binomial distribution μ= 6
Variance of the binomial distribution λ² = 4.2
Step-by-step explanation:
<u>Explanation:-</u>
The probability a Gallup poll showed that 30% of Americans are satisfied with the way things are going in the United States.
p = 30% = 0.3
q =1-p = 1- 0.3 =0.7
a sample of 20 Americans is selected as part of a study of the state of the nation
size of the sample 'n' =20
we will use binomial distribution
<u>mean</u>:-
Mean of Americans who are satisfied with the way things are going in the United States (μ) = np
μ= 20 X 0.3
μ= 6
<u>Variance</u>:-
Variance of Americans who are satisfied with the way things are going in the United States λ² = n p q = 20 X(0.3)(0.7)
λ² = 4.2