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Binomial probabilities of exactly and at least a given number of seeds failing to germinate

Binomial probabilities of exactly and at least a given number of seeds failing to germinate

5 marks

Each seed of a certain variety of tomato, independently of the others, fails to germinate with probability \(0.23\). A gardener plants nine of these seeds.

  1. Find the probability that exactly three of the seeds fail to germinate.[2]
  2. Find the probability that at least three of the seeds fail to germinate.[3]

Solution:

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Answer:(a) \(0.213\) (b) \(0.343\)

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