Whitney Pete, a professional dart player, has a 80% chance of hitting the bull’s eye on a dartboard with any throw. Assume that each throw of a dart is independent. Start showing your work, clearly labeled, on a separate sheet of paper. You'll submit your work at the end of this problem. a. Suppose Pete throws darts until he hits his first bull’s eye. Find the probability that his first bull’s eye occurs on the third throw. Justify your response in your work, and submit the numerical probability here, to three decimals places. b. What is the probability that Pete hits 5 or fewer of his next 10 shots? Justify your response in your work, and submit the answer here. c. What is the probability that it takes Pete more than 3 shots to hit his first bulls’ eye? Justify your response.
Whitney Pete, a professional dart player, has a 80% chance of hitting the bull’s eye on a dartboard with any throw. Assume that each throw of a dart is independent. Start showing your work, clearly labeled, on a separate sheet of paper. You'll submit your work at the end of this problem.
a. Suppose Pete throws darts until he hits his first bull’s eye. Find the
b. What is the probability that Pete hits 5 or fewer of his next 10 shots? Justify your response in your work, and submit the answer here.
c. What is the probability that it takes Pete more than 3 shots to hit his first bulls’ eye? Justify your response.
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