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Ilya [14]
3 years ago
15

A Gallup poll showed that 30% of Americans are satisfied with teh way things are going in the United States. Suppose a sample of

20 Americans is selected as part of a study of the state of the nation, compute the expected number and the variance of Americans who are satisfied with the way things are going in the United States
Mathematics
1 answer:
weeeeeb [17]3 years ago
4 0

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

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