Family Traits The probabilities that a blond mother will have a blond, brunette, or
Chapter 10, Problem 24(choose chapter or problem)
Family Traits The probabilities that a blond mother will have a blond, brunette, or redheaded daughter are 0.6, 0.2, and 0.2, respectively. The probabilities that a brunette mother will have a blond, brunette, or redheaded daughter are 0.1, 0.7, and 0.2, respectively. And the probabilities that a redheaded mother will have a blond, brunette, or redheaded daughter are 0.4, 0.2, and 0.4, respectively. (a) What is the probability that a blond woman is the grandmother of a brunette? (b) If the population of women is now 50% brunettes, 30% blonds, and the rest redheads, what will the distribution be (i) After two generations? (ii) In the long run?
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