section_problems_7_fall11 - 2. Suppose that A and B are two...

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Section Problems # 7 Round all of your final answers to four decimal places if necessary. From book: 4.112 (page 291) 4.114 (page 291) 4.122 parts b - d (page 292) 1. Disease Y is a disease caused by a sex-linked recessive mutation. A son of a carrier of disease Y can get disease Y from the carrier. Some disease Y cases, however, are due to spontaneous mutations in sons of mothers who are not carriers. Jessica has one son, who has disease Y. In the absence of other information, the probability is 0.32 that the son is the victim of a spontaneous mutation and 0.68 that Jessica is a carrier. There is a screening test called the CK test that is positive with probability 0.75 if a woman is a carrier and with probability 0.15 is she is not. Jessica’s CK test is positive. Find the conditional probability that Jessica is a carrier given that her CK test is positive.
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Unformatted text preview: 2. Suppose that A and B are two events with P( A ) = 0.1, P( B ) = 0.2, and P( A | B )=0.4. What is P( A or B )? 3. Suppose that F and G are two events with P( F ) = 0.1, P( G ) = 0.3, and P( G | F )=0.5. What is P( F or G )? 4. Consider the joint distribution of X and Y : X =1 X =2 Y =1 0.2 0.3 Y =2 0.1 0.4 What is E( X | Y =1)? What is E( Y | X =2)? 5. Consider tossing a pair of fair dice two times. Consider the following events: A = odd number on the first roll, B = even number on the second roll. Are events A and B disjoint? Are events A and B independent? 6. Consider tossing a pair of fair dice two times. Consider the following events: A = odd number on the first roll, B = even number on the first roll. Are events A and B disjoint? Are events A and B independent?...
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