According to asurvey, 65% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed last year are randomlyselected, and the number cleared by arrest or exceptional means is recorded.

(a) Find the probability that exactly 40 of the murders were cleared.

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

(c) Would it be unusual if fewer than 18 of the murders werecleared? Why or whynot?