0 0 | O 8. An urn contains 3 black and 6 white balls. Two bal drawing at least o

Question

0 0 | O 8. An urn contains 3 black and 6 white balls. Two bal drawing at least one white ball is: ls are drawn at random without replacement. The probability of (a) 0.50 (b) 0.58 (c) 0.46 (d) 0.42 (e) 0.92 9. Acute pancreatitis is a sudden inflammation of the pancreas. Despite treatment, the probability that a patient recovers from it is 0.9. Twenty patients with acute pancreatitis are admitted to a local hospital. What is the probability that at least 19 out 20 recover? (a) 0.93 (b) 0.74 (c) 0.68 (d) 0.46 (e) 0.39

Explanation / Answer

8) P(at least one White ball) = (6C1 * 3C1 + 6C2)/9C2 = 0.92

option-E is the correct answer.

9) P = 0.9

n = 20

P(X = x) = nCx * Px * (1 - P)n - x

P(x > 19) = P(x = 19) + P (x = 20)

= 20C19 * (0.9)^19 * (0.1)^1 + 20C20 * (0.9)^20 * (0.1)^0 = 0.39

option-E is the correct answer.

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