[Chapter 9] Binomial and Hypergeometric Distributions 401 Q.9 The probability that a patient recovers from a disease is 0.8. Suppose 5 people are known to have contracted the disease. Assuming...

Extracted text: [Chapter 9] Binomial and Hypergeometric Distributions 401 Q.9 The probability that a patient recovers from a disease is 0.8. Suppose 5 people are known to have contracted the disease. Assuming independence find the probability that: (i) exactly 4 recover (ii) at least one recover (iii) at least one but not more than three recover (iv) at most three recover. Ans. (i) 0.4096 (ii) 0.99968 (iii) 0.2624 (iv) 0.26272