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Expected number, an exact probability and an at-least probability for a binomial count of seeds that fail to germinate

Expected number, an exact probability and an at-least probability for a binomial count of seeds that fail to germinate

7 marks

A packet contains \(150\) seeds. Each seed, independently of the others, fails to germinate with probability \(0.06\).

  1. Find the expected number of seeds in the packet that fail to germinate.[2]
  2. Find the probability that exactly \(12\) seeds in the packet fail to germinate.[2]
  3. Find the probability that at least \(6\) seeds in the packet fail to germinate.[3]

Solution:

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Answer:(a) \(9\) (b) \(0.0735\) (c) \(0.892\)

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