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In: Statistics and Probability

According to a​ survey, 62​% of murders committed last year were cleared by arrest or exceptional...

According to a​ survey, 62​% 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. When technology is​ used, use the Tech Help button for further assistance. ​

(a) Find the probability that exactly 39 of the murders were cleared. ​

(b) Find the probability that between 36 and 38 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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