According to the Mendelian theory of heredity, if plants with round yellow seeds are crossbred with plants with wrinkled green seeds, the probabilities of getting a plant that produces round yellow seeds, wrinkled yellow seeds, round green seeds, or wrinkled green seeds are, respectively, 9/16, 3/16, 3/16, and 1/16. What is the probability that among nine plants thus obtained there will be four that produce round yellow seeds, two that produce wrinkled yellow seeds, three that produce round green seeds, and none that produce wrinkled green seeds?
Answer to relevant QuestionsAmong 25 silver dollars struck in 1903 there are 15 from the Philadelphia mint, 7 from the New Orleans mint, and 3 from the San Francisco mint. If 5 of these silver dollars are picked at random, find the probabilities of ...Suppose the acceptance number in Example 5.16 is changed from 1 to 2. Keeping the producer’s risk at 0.05 and the consumer’s risk at 0.10, what are the new values of the AQL and the LTPD? (a) In Exercise 5.92 change the acceptance number from 1 to 0 and sketch the OC curve. (b) How do the producer’s and consumer’s risks change if the AQL is 0.05 and the LTPD is 0.3 in both sampling plans? Prove Theorem 6.1. Theorem 6.1 The mean and the variance of the uniform distribution are given by µ = α + β / 2 and σ2 = 1/12 (β – α)2 Karl Pearson, one of the founders of modern statistics, showed that the differential equation Yields (for appropriate values of the constants a, b, c, and d) most of the important distributions of statistics. Verify that ...
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