Question

Suppose a new cancer treatment has a 20% chance of curing a patient. a) For 5...

Suppose a new cancer treatment has a 20% chance of curing a patient.

  1. a) For 5 cancer patients, what is the probability that: i) none will be cured?
    ii) exactly 2 patients will be cured?
    iii) at least 2 patients will be cured?

  2. b) For 500 patients,
    i) how many would you expect to be cured by the treatment?
    ii) what is the probability that more than 75 of the patients are cured?

[2+2+2+2+1+2 = 11 marks]

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