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.