5 patients qualify to have a surgical procedure performed. There is an 80% chanc

Question

5 patients qualify to have a surgical procedure performed. There is an 80% chance of a successful surgery. Random variable x represents successful surgery. Set up your probabilities, show all steps. What is the probability of no successful surgeries? What is the probability of 5 successful surgeries? 5 patients qualify to have a surgical procedure performed. There is an 80% chance of a successful surgery. Random variable x represents successful surgery. Set up your probabilities, show all steps. What is the probability of no successful surgeries? What is the probability of 5 successful surgeries?

Explanation / Answer

Solution

P(X) = 0.8 and n = 5

(a) P(X= 0) = 5C0 (0.8)0(1-0.8)5-0 = (0.2)5 = 0.00032

(b) P(X = 5) = 5C5 (0.8)5 = 0.32768

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