6. A trainer is teaching a dolphin to do tricks. The probability that the dolphin successfully

performs the trick is 20%, and the probability that the dolphin does not successfully

perform the trick is 80%. Out of 10 attempts, you want to find the probability that the

2

dolphin succeeds 2 times.

a) Why is it a binomial problem? (4 points)

b) Calculate the probability that the dolphin succeeds 2 times out of 10. (4 points)

c) Calculate the probability that the dolphin succeeds more than 2 times out of 10. (4

points)

d) What is the average number of success out of 10 attempts? What is the variance? (6

points)