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Problem 4 - Entrance Test

The probability that an Algerian date palm survives drought is 0.7. If 7 new palms are planted, what is the probability that at least 5 survive?

Correct: A

Binomial: P(X≥5)=C(7,5)(0.7)⁵(0.3)²+C(7,6)(0.7)⁶(0.3)+C(7,7)(0.7)⁷≈0.352.