Question: To find the probability that five or more claims are made by people under age 25, we can use the binomial probability formula. Given information:
To find the probability that five or more claims are made by people under age 25, we can use the binomial probability formula. Given information: Probability of a property damage claim being made by someone under 25 (p) = 0.50 Probability of a property damage claim not being made by someone under 25 (1 - p) = 1 - 0.50 = 0.50 Sample size (n) = 8 We want to find the probability of 5, 6, 7, or 8 claims being made by people under 25 (k = 5, 6, 7, 8) The formula for calculating the probability of exactly k successes out of n trials in a binomial distribution is: P(k) = (n choose k) * p^k * (1 - p)^(n-k) Calculate the probabilities for k = 5, 6, 7, and 8, and then sum these probabilities to find the total probability that five or more claims are made by people under age 25. Round your answer to three decimal places
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