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

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.

(a) Find the probability that exactly 41 of the murders were cleared.

(b) Find the probability that between 36 and 38 of them murders, inclusive, were cleared.

(c) Would it be unusual if fewer than 20of the murders werecleared? Why or why not