There are no universally accepted definitions of the ages of Millennials and Generation Xers; the consensus is that the former are Americans born between 1984 and 2000 and the latter are Americans born between 1965 and 1984. Baby boomers are defined as people born between 1946 and 1964. An analysis conducted by the Pew Research Center produced the following table of joint probabilities relating marital status of the three groups defined here.

a. Find the probability that a Millennial is married.

b. Compute the probability that a Baby Boomer is single, never married.

c. Suppose that one person is selected at random. What is the probability that he or she is married?

d. What is the probability that someone who is living with a partner, but not married is a Generation X?

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Baby Millennial Generation X Boomer Marital Status .058 Single, never married .195 .030 Married 201 .089 223 Living with partner, not married .030 .025 .009 Divorced, separated, .054 .017 .070 widowed