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Chapter 6: Random Variables

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The Practice of Statistics for AP
Pages: 339 - 412
The Practice of Statistics for AP

The Practice of Statistics for AP

Book edition 4th
Author(s) David Moore,Daren Starnes,Dan Yates
Pages 809 pages
ISBN 9781319113339

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Illustration

145 Questions for Chapter 6: Random Variables

  1. Life insurance A life insurance company sells a term insurance policy to a21-year-old male that pays 100,000if the insured dies within the next 5years. The probability that a randomly chosen male will die each year can be found in mortality tables. The company collects a premium of 250each year as payment for the insurance. The amount Y that the company earns on this policy is 250per year, less the 100,000that it must pay if the insured dies. Here is a partially completed table that shows information about risk of mortality and the values of Y=profit earned by

    Found on Page 354

  2. Compute and interpret the standard deviation ofX.

    Found on Page 349

  3. Knees Patients receiving artificial knees often experience pain after surgery. The pain is measured on a subjective scale with possible values of 1 (low) to 5 (high). Let X be the pain score for a randomly selected patient. The following table gives part of the probability distribution for X.

    Found on Page 407

  4. Toss 4times Suppose you toss a fair coin 4times. Let X=the number of heads you g

    Found on Page 353

  5. What is the probability that a randomly chosen subject completes at least 3puzzles in the five-minute period while listening to soothing music?

    Found on Page 409

  6. Fire insurance Suppose a homeowner spends $300for a home insurance policy that will pay out $200,000if the home is destroyed by fire. Let Y=the profit made by the company on a single policy. From previous data, the probability that a home in this area will be destroyed by fire is 0.0002

    Found on Page 354

  7. A test for extrasensory perception (ESP) involves asking a person to tell which of 5shapes—a circle, star, triangle, diamond, or heart—appears on a hidden computer screen. On each trial, the computer is equally likely to select any of the 5shapes. Suppose researchers are testing a person who does not have ESP and so is just guessing on each trial. What is the probability that the person guesses the first 4shapes incorrectly but gets the fifth correc

    Found on Page 410

  8. Using Benford's law According to Benford's law (Exercise 5, page 353), the probability that the first digit of the amount of a randomly chosen invoice is an 8or a 9is 0.097. Suppose you examine randomly selected invoices from a vendor until you find one whose amount begins with an 8or a 9

    Found on Page 406

  9. 101. Job reads that 1 out of 4 eggs contains salmonella bacteria. So he never uses more than 3 eggs in cooking. If eggs do or don't contain salmonella independently of each other, the number of contaminated eggs when Joe uses 3 chosen at random has the following distribution:

    Found on Page 406

  10. In the previous exercise, the probability that at least 1of Joe's 3eggs contains salmonella is about

    Found on Page 406

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