Parents who condone spanking. In Exercise 4.55 (p. 195), you learned that 60% of parents with young children condone spanking their child as a regular form of punishment. (Tampa Tribune, Oct. 5, 2000.) A child psychologist with 150 parent clients claims that no more than 20 of the parents condone spanking. Do you believe this claim? Explain.
Exercise 4.55
Parents who condone spanking. According to a nationwide survey, 60% of parents with young children condone spanking their child as a regular form of punishment. (Tampa Tribune, Oct. 5, 2000.) Consider a random sample of three people, each of whom is a parent with young children. Assume that x, the number in the sample who condone spanking, is a binomial random variable.
a. What is the probability that none of the three parents condones spanking as a regular form of punishment for their children?
b. What is the probability that at least one condones spanking as a regular form of punishment?
c. Give the mean and standard deviation of x. Interpret the results.
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