If the probability of seeds germinating is 70%, what is the probability that 8 out of 10 seeds germinate?

Answer 1

p = 0.7 (the probability that seeds are germinating)

n = 10 seeds

We will use the binomial distribution, X~Bin(10, 0.7).

P(X = 8) = C(10,8)*[(0.7)⁸(0.3)²] = 10!/(8!*2!)*[(0.7)⁸(0.3)²] = 45*[(0.7)⁸(0.3)²] = 0.2335

The probability that 8 out of 10 seeds will germinate is about 0.2335.