
Answer-first summary for fast verification
Answer: 0.07
This is a binomial probability problem where: - n = 9 (number of trials) - p = 0.6 (probability of success/survival) - q = 1 - p = 0.4 (probability of failure/death) We need P(X ≥ 8) = P(X = 8) + P(X = 9) Using the binomial formula: P(X = x) = C(n,x) * p^x * q^(n-x) P(X = 8) = C(9,8) * (0.6)^8 * (0.4)^1 = 9 * 0.01679616 * 0.4 = 9 * 0.006718464 = 0.060466176 P(X = 9) = C(9,9) * (0.6)^9 * (0.4)^0 = 1 * 0.010077696 * 1 = 0.010077696 P(X ≥ 8) = 0.060466176 + 0.010077696 = 0.070543872 ≈ 0.0705 or 7% Therefore, the correct answer is 0.07 (Option B).
Author: Nikitesh Somanthe
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