Probability Distributions

Glenn Howell VP of personnel for the Standard Insurance Company, has developed a new training program that is entirely self-paced.

On the basis of past experience, automobile inspectors in Pennsylvania have noticed that 5 percent of all cars coming in for their annual inspection fail to pass. Using the normal approximation to the binomial, find the probability that between 7 and 18 of the next 200 cars to enter the Lancaster inspection station will fail the inspection.

R. V. Poppin, the concession stand manager for the local hockey rink, just had 2 cancellations on his crew.

Maurine Lewis, an editor for a large publishing company, calculates that it requires 11 months on average to complete the publication process from manuscript to fi nished book, with a standard deviation of 2.4 months. She believes that the normal distribution well describes the distribution of publication times. Out of 19 books she will handle this year, approximately how many will complete the process in less than a year?

The Quickies Sales Corporation has just been given two conflicting estimates of sales for the upcoming quarter.

The Nobb Door Company manufactures doors for recreational vehicles.

Which probability distribution is most likely the appropriate one to use for the following variables: binomial, Poisson, or normal?

  1. The life span of a female born in 1977
    1. The number of autos passing through a tollbooth
      1. The number of defective radios in a lot of 100
        1. The water level in a reservoir.

What characteristics of a situation help to determine which is the appropriate distribution to use?

Explain in your own words the difference between discrete and continuous random variables. What difference do such classifications make in determining the probabilities of future events?

In the past 20 years, on average, only 3 percent of all checks written to the American Heart Association have bounds.

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