According to Discover magazine, 95% of airline passengers will survive a crash u

Question

According to Discover magazine, 95% of airline passengers will survive a crash under certain conditions. Given those conditions, what is the probability that at least 8 of 10 passengers will survive a crash

1. A criminal uses fake books to hide drugs. The criminal is crossing a border with a box of 16 real books, and 4 fake books. If the border crossing police officer randomly selects 3 books for inspection, what is the probability that the criminal will be arrested for illegal possession of drugs?

Explanation / Answer

Here p = 0.95

Probability that at least 8 passangers survive out of 10 passangers

P(X>=8) = P(X=8) + P(X=9) + P(X=10)

P(X=8) = 10C8 * (0.95)^8 * (0.05)^2 = 0.0746
P(X=9) = 10C8 * (0.95)^9 * (0.05)^1 = 0.3151
P(X=10) = 10C10 * (0.95)^10 * (0.05)^0 = 0.5987

P(X>=8) = 0.9885

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