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?