1. Suppose that the weights of airline passengers and their luggage averages 205

Question

1. Suppose that the weights of airline passengers and their luggage averages 205 lbs with a standard deviation of 20 lbs. What is the probability that the weight of 144 passengers and their luggage exceeds 30,000 lbs?

2. A sample of 100 is taken from a large group of items of which 5 percent are known to be defective. What is the probability that less than 5 percent of the sample are defective?

3. The mortality rate for 41-year-olds is known to be 1% that year. An insurance company has issued 50,000 terms one-year policies for people aged 41 years old. What is the probability the insurance company will have to pay off on more than 550 of these policies?

4. A survey reveals that 80% of American homes have a high-speed internet connection. In a sample of 400 American households, estimate the probability that between 75% and 90% of these households have a high-speed internet connection.

Explanation / Answer

Answer to the question is as follows.:

1. Mean = 205

Stdev = 20

P(X>30000)

= P(Z> ((30000/144) - 205) / 20)

= P(Z>.157)

= 0.434

So, 43.4% of people have their luggage exceeding 30,000 lbs

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