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Refer to Exercise 5.117. Suppose that the number N of alligators in the population is very large, with p1 = .3 and p2 = .1.
a Find the
b If n = 5, find
5.117 A population of N alligators is to be sampled in order to obtain an approximate measure of the difference between the proportions of sexually mature males and sexually mature females. Obviously, this parameter has important implications for the future of the population. Assume that n animals are to be sampled without replacement. Let Y1 denote the number of mature females and Y2 the number of mature males in the sample. If the population contains proportions p1 and p2 of mature females and males, respectively (with p1 + p2 < 1), find expressions for
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Mathematical Statistics with Applications
- The following table shows frequencies for red-green color blindness, where M represents person is male and C represents person is colour-blind. Use this table to find the following probabilities. See Exercise 86, Section 12.2 M M Totals C 0.035 0.004 0.039 C 0.452 0.509 0.961 Totals 0.487 0.513 1.000 a. P(M) b. P(C) c. P(MC) d. P(MC) e. P(M|C) f. P(C|M) g. P(M|C) h. Are the events C and M, described above, dependent? What does this mean?arrow_forwardIf a binomial experiment has probability p success, then the probability of failure is ____________________. The probability of getting exactly r successes in n trials of this experiment is C(_________, _________)p (1p)arrow_forward
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