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Voters. In Exercises, use a normal approximation to find
Chapter 6, Problem 10BSC(choose chapter or problem)
Problem 10BSC
Voters. In Exercises, use a normal approximation to find the probability of the indicated number of voters. In each case, assume that 100 eligible voters aged 18–24 are randomly selected. The most recent Census Bureau results show that among eligible voters aged 18–24, 22% of them voted.
Probability that at least 25 voted
Questions & Answers
QUESTION:
Problem 10BSC
Voters. In Exercises, use a normal approximation to find the probability of the indicated number of voters. In each case, assume that 100 eligible voters aged 18–24 are randomly selected. The most recent Census Bureau results show that among eligible voters aged 18–24, 22% of them voted.
Probability that at least 25 voted
ANSWER:Problem 10BSC
Answer:
Step1 of 4:
We have 100 eligible voters aged 18–24 are randomly selected. The most recent Census Bureau results show that among eligible voters aged 18–24, 22% of them voted.
Step2 of 4:
We need to find the probability of the indicated number of voters.
Step3 of 4:
We have n = 100, p = 22% = 0.22 and
q = 1 - p
= 1 - 0.22
= 0.78
Let “x” be random variable it follows binomial distribution with parameter n and p.
x B(n, p)
1).Mean of the binomial distribution is given by () = np
= 100(0.22)