Poisson Probability (Shopkeeper Sales)

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SOLUTIONS:

  • (A) 0.1804
  • (B) 0.0166
  • (C) 0.3233

Mean = 2/7*5

  • (a) x = 3
  • (b) x > 5

I'm still unsure how to approach each question, because I still get the wrong answers.

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You seem to have got the first two right. The last one is just the probability that he gets 3 or more orders, so you need $$ 1-e^{-\lambda} - e^{-\lambda} \lambda -\frac{e^{-\lambda} \lambda^2}{2!} $$ and you know $\lambda$.