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4.3 Exercise 10

Avg difficulty 2.5

The lifetime risk of developing cancer is about one in 67 (1.5%). Suppose we randomly sample 200 people. Let X = the number of people who will develop cancer.

  1. What is the probability distribution for X?
  2. Using the formulas, calculate the (i) mean and (ii) standard deviation of X.
  3. Use your calculator to find the probability that at most eight people develop cancer
  4. Is it more likely that five or six people will develop cancer? Justify your answer numerically.

OpenStax Introductory Statistics 2e, 4.3 Binomial Distribution, exercise 10

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Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.