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4.4 Exercise 10

Avg difficulty 2.5

The literacy rate for a nation measures the proportion of people age 15 and over who can read and write. The literacy rate for women in Afghanistan is 12 percent. Let X = the number of Afghani women you ask until one says that she is literate.

  1. What is the probability distribution of X?
  2. What is the probability that you ask five women before one says she is literate?
  3. What is the probability that you must ask 10 women?
  4. Find the (i) mean and (ii) standard deviation of X.

OpenStax Statistics, 4.4 Geometric Distribution (Optional), exercise 10

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