A breeding pair of gray wolves produces one litter of pups each spring. The following table gives the distribution of the number of pups per litter:

Percentage Number of pups

10% 2

18% 3

53% 4

12% 5

7% 6

Letdenote the average number of pups for a randomly chosen litter. A biologist working for the International Wolf Center selects at random 8 litters for the purpose of his research. What is the probability that the number of litters with at most 3 pups (among the 8 litters) does not deviate by more than 2 from?

Hint: ComputeP(|Y|2) where Y is the number of litters with at most 3 pups (among the 8 litters).