In a survey of 1348 ​people, 872 people said they voted in a recent presidential election. Voting records show that 62​% of eligible voters actually did vote. Given that 62​% of eligible voters actually did​ vote, (a) find the probability that among 1348 randomly selected​ voters, at least 872 actually did vote.​

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In a survey of

1348

​people,

872

people said they voted in a recent presidential election. Voting records show that

62​%

of eligible voters actually did vote. Given that

62​%

of eligible voters actually did​ vote, (a) find the probability that among

1348

randomly selected​ voters, at least

872

actually did vote.​ 

Expert Solution
Step 1

Step 1:

Given:

n = 1348

p = 62% = 0.62

∴ q = 1-p = 1-0.62 = 0.38

Thus, we have,

Mean = np = 1348×0.62 = 835.76

Standard deviation = √npq = √1348×0.62×0.38 = 17.82102

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