Question 5.12

5.12 Hispanic representation.

Refer to the setting of Exercise 5.10 (page 253).

  1. What is the mean number of Hispanics on randomly chosen committees of 10 workers?
  2. What is the standard deviation of the count of Hispanic members?
  3. Suppose now that 10% of the factory workers were Hispanic. Then . What is in this case? What is if ? What does your work show about the behavior of the standard deviation of a binomial distribution as the probability of a success gets closer to 0?