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In: Statistics and Probability

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

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 41 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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