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MATH 352 HomeWork5

# MATH 352 HomeWork5 - one copy of the gene is a carrier...

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Home Work 5 1. Section 2.3: 23 Electrical circuit boards are rated excellent, acceptable, or unacceptable. Suppose that 30% of boards are excellent, 60% are acceptable, and 10% are unacceptable. Further, suppose that 10% of excellent boards fail, 20% of acceptable boards fail, and 100% of unacceptable boards fail (unacceptable boards are discarded without being used). a. What is the probability that a board is rated excellent and fails? (Do not confuse with the probability that an excellent board fails!) b. What is the probability that a board fails? c. Given that a board fails, what is the probability that it was rated excellent? 2. Section 2.3: 27 Haemophilia is a sex-linked genetic disease that results in the inability of blood to clot. (A disease is sex-linked if the disease gene is located on X-chromosome.) A woman with
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Unformatted text preview: one copy of the gene is a carrier, which means that she does not have the disease, but she can transmit it to her male children. If a carrier has children by a man who is disease-free, each son has probability 0.5 of having the disease, and each daughter has probability 0.5 of being a carrier. Outcomes are independent. a. A woman who is a carrier has two sons. The father is disease-free. What is the probability that neither of the sons has the disease? b. A woman whose mother was a carrier has probability 0.5 of being a carrier. If this woman has a son by a man who is disease-free, what is the probability that the son has the disease? c. Refer to part (b). If the son does not have the disease, what is the probability that the woman is a carrier? 3. Section 2.3: 29 (2-nd ed.) or Section 2.3: 19 (1-st ed.)...
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