Question

1. Turnout for the 2016 US presidential elections was 55% of the eligible population. Suppose 10...

1. Turnout for the 2016 US presidential elections was 55% of the eligible population. Suppose 10 eligible individuals were randomly sampled in 2016 - what is the probability that 2 or fewer of the 10 voted?

2. Turnout for the 2016 US presidential elections was 55% of the eligible population. Suppose 10 eligible individuals were randomly sampled in 2016 - what is the probability that 3 or 4 of the people voted?

3.Turnout for the 2016 US presidential elections was 55% of the eligible population. Suppose 10 eligible individuals were randomly sampled in 2016 - what number of people who voted would be unusually high or low?

a. 1 or fewer would be unusually low. 10 or more would be unusually high.

b.There are no unusually high or low values.

c.2 or fewer would be unusually low. 9 or more would be unusually high.

Homework Answers

Answer #1

1:

Let X is a random variable shows the number of people voted. Here X has binomial distribution with parameters n=10 and p = 0.55

The probability that 2 or fewer of the 10 voted is

2:

The probability that 3 or 4 of the people voted is

3:

From above information we have

The usual range of values is

Correct option is

c.2 or fewer would be unusually low. 9 or more would be unusually high.

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