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# StatORJan06 - DD ? 2.A firm wishes to reduce its backlog of...

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Part B: Probability Questions Spring 2006 Common Quals Do three out of four problems. 1. An individual has one of three genotypes called dd , dD , and DD , respectively, for a gene associated with disease X . The probability that an individual has genotype dd is 0.49; the probability that an individual has genotype dD is 0.42; and the probability that an individual has genotype DD is 0.09. The probability that an individual with the dd genotype is affected with disease X is 0.10. The probability that an individual with the dD genotype is affected with disease X is 0.75. The probability that an individual with the DD genotype is affected with disease X is 0.99. What is the probability that an individual is affected with disease X ? Given that an individual has disease X , what is the probability that the individual is genotype
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Unformatted text preview: DD ? 2.A firm wishes to reduce its backlog of transactions by hiring temporary workers. The firm is equally likely to have 2, 3, 4, or 5 temporary workers on a given day. No matter how many temporary workers there are on a given day, the numbers of transactions completed on a given day by each of these temporary workers are independent Poisson random variables with mean 32. Let X denote the number of transactions completed by the temporary workers on a given day. Find ] [ X E and ) var( X . 3. If the random variables X and Y are identically distributed, not necessarily independent, with finite variance, find ) , cov( Y X Y X + . 4. Let 3 2 1 , , X X X be independent and identically distributed continuous random variables. Compute }. | { 3 2 2 1 X X X X P &amp;lt; &amp;gt;...
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## This note was uploaded on 01/31/2011 for the course AMS 507 taught by Professor Feinberg,e during the Fall '08 term at SUNY Stony Brook.

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