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
9514 1404 393
Answer:
$4.00
Step-by-step explanation:
We assume the price is proportional to the quantity of oranges. If p is the desired price in dollars, we want ...
p/8 = 0.25/(1/2)
p = 8(0.50) = 4.00 . . . . multiply by 8, simplify
8 kg of oranges would cost $4.00.
Answer:
(a) t = 1.6766
Step-by-step explanation:
n = 50
degree of freedom = n - 1 = 50 - 1 = 49
confidence level = 90%
The critical value corresponding to 90% confidence level and 49 degrees of freedom is obtained by interpolating between 48 and 50 degrees of freedom (df)
Let the critical value at 49 df be y
dof. critical value
48. 1.677
49. y
50. 1.676
(49 - 48)/(50 - 48) = (y - 1.677)/(1.676 - 1.677)
0.5 × -1×10^-3 = y - 1.677
y - 1.677 = -5×10^-4
y = -5×10^-4 + 1.677 = 1.6765
The closest option is (a)