Suppose that the probabilities are 0.60, 0.20, 0.10, and 0.10 that a state income tax return will be filled out correctly, that it will contain only errors favoring the tax–payer, that it will contain only errors favoring the state, or that it will contain both kinds of errors. What is the probability that among 12 such income tax returns randomly chosen for audit, 5 will be filled out correctly, 4 will contain only errors favoring the taxpayer, 2 will contain only errors favoring the state, and 1 will contain both kinds of errors?
Answer to relevant QuestionsAccording 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 ...Use the recursion formula of Exercise 5.8 to show that for θ = 12 the binomial distribution has (a) A maximum at x = n/2 when n is even; (b) Maxima at x = n – 1 / 2 and x = n + 1 / 2 when n is odd. In exercise If the AQL is 0.1 and the LTPD is 0.25 in the sampling plan given in Exercise 5.92, find the producer’s and consumer’s risks. Show that if v > 2, the chi-square distribution has a relative maximum at x = v – 2. What happens when v = 2 or 0 < v < 2? If a random variable X has a uniform density with the parameters a and β, find its distribution function.
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