According to a​ survey, 63​% of murders committed last year were cleared by arrest or exceptional...

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According to a​ survey, 63​% of murders committed last year werecleared by arrest or exceptional means. Fifty murders committedlast year are randomly​ selected, and the number cleared by arrestor exceptional means is recorded. When technology is​ used, use theTech Help button for further assistance.

​(a) Find the probability that exactly 40 of the murders werecleared. ​

(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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