It is known that 65% of all guinea pigs injected with a certain culture will contract red blood anemia. In a laboratory experiment, 7 guinea pigs are injected with culture. Letxbe the number of guinea pigs that contract the disease.

(a) Determine the probability of more 5 guinea pigs that contract red blood cell anemia.

(b) Determine the probability of getting at most 3 guinea pigs that contract red blood cell anemia.

(c) Find P(1 < x < 6).

(d) Determine the probability of exactly 2 guinea pigs that contract red blood cell anemia.