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findthe probability that all the customers that arrive at the shop within the first 10 minutes, all bought product A?

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Customers arrive at a shop according to a Poisson process at rate λ (/min), where they choose to buy either product A (with probability P) or product B (with probability 1 – P), independently. Given that during the first hour 5 customers chose product B, what is the probability that all the customers that arrive at the shop within the first 10 minutes, all bought product A?

  1.   60%
  2.   70%
  3.   30%
  4.   40%
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