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According to a​ survey, 61​% of murders committed last year were cleared by arrest or exceptional...

According to a​ survey, 61​% 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 41 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 20 of the murders were​ cleared? Why or why​ not?

(Round to four decimal places as​ needed.)

Math   Statistics-And-Probability   
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