A study of social mobility in England looked at the social class reached by the sons of lower-class fathers. Social classes are numbered from 1 (low) to 5 (high). Take the random variable X to be the class of randomly chosen son of a father in Class 1. The study found that the distribution of X is Sons class 1 2 3 4 5 probability .48 .38 .08 .05 .01 A. What percent of the sons of lower-class fathers reach the highest class, Class 5?   B. Does the distribution satisfy the requirements for a discrete probability distribution?  C. What is P(X≤3)? D. What is P(X<3)? E. What is the probability a son of a lower-class father reaches one of the two highest classes?  F. What is the expected class that a son of a lower-class father would reach?

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