According to a survey, 63 % of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed last year are randomly selected, and the number cleared by arrest or exceptional means is recorded. (a) Find the probability that exactly 38 of the murders were cleared. (b) Find the probability that between 35 and 37 of the murders, inclusive, were cleared. (c) Would it be unusual if fewer than 18 of the murders were cleared? Why or why not?

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