Type E:

Title: Flu Data

1) According to government data, the probability than an adult never had the flu is 19%. You randomly select 70 adults and ask if he or she ever had the flu. Decide whether you can use the normal distribution to approximate the binomial distribution, If so, find the mean and standard deviation, If not, explain why. Round to the nearest hundredth when necessary.

Type E:

Title: German Class

2) The failure rate in a German class is 30%. In a class of 50 students, find the probability that exactly five students will fail. Use the normal distribution to approximate the binomial distribution. Round the standard deviation to three decimal places to work the problem.

Type E:

Title: Parks

3) In a recent survey, 84% of the community favored building more parks in their neighborhood. You randomly select 22 citizens and ask each if he or she thinks the community needs more parks. Decide whether you can use the normal distribution to approximate the binomial distribution. If so, find the mean and standard deviation. If not, explain why.

Type E:

Title: Flu Data

4) A local rental car agency has 100 cars. The rental rate for the winter months is 60%. Find the probability that in a given winter month at least 70 cars will be rented. Use the normal distribution to approximate the binomial distribution. Round the standard deviation to three decimal places to work the problem.

Answers:

1) use normal distribution, μ = 13.3 and σ = 3.28.
2) P(4.5 < X < 5.5) = P(-3.24 < z < -2.93) = 0.0017 - 0.0006 = 0.0011
3) cannot use normal distribution, nq = (22)(0.16) = 3.52 < 5
4) P(x ≥ 69.5) = 0.0262