7. John Wayne is known to be a famous Cowboy Western star in the movies playing in such roles as "Rio Bravo" and "True Grit". He is also pretty good with a six-shooter! Suppose John Wayne enjoys target practice at old beer cans on a fence rail. It has been estimated that he is successful in hitting the can 84% of the time. His trusty pair of Colt six-shooters holds 6 round each (total bullets = 12). (a) What is the probability that John Wayne hits the can exactly 8 times during one round of shooting (emptying both six-shooters)? (b) What is the variance associated with John Wayne's successful can hit during target practice? (c) What is the probability of John Wayne hitting at least one can?

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