If a certain medicine cures 90% of the people who take it, what is the probability that if 9 people take the medicine that 6 will be cured?

A) 0.01

B) 0.02

C) 0.04

D) 0.33

Question

Fernando

Mathematics

17 January, 11:34

If a certain medicine cures 90% of the people who take it, what is the probability that if 9 people take the medicine that 6 will be cured?

A) 0.01

B) 0.02

C) 0.04

D) 0.33

+1

Answers (1)

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Terrance · Answer 1

This is an example of binomial distribution probability. The probability that a person gets cured by the medicine (p) is 90% or 0.9. The probability that a person does not get cured by the medicine (q) is 100 - 90 = 10% = 0.1. The probability of a binomial distribution is given by nCx (p) ^x (q) ^ (n - x); where n is the sample size, x is the number of success, p is the probability of success, and q is the probability of failure. Therefore, the probability that out of 9 people that takes the medicine, 6 will be cured is given by 9C6 (0.9) ^6 (0.1) ^3 = 84 x 0.531441 x 0.001 = 0.0446. Therefore, option C (0.04) is the correct answer.

If a certain medicine cures 90% of the people who take it, what is the probability that if 9 people take the medicine that 6 will be cured?A) 0.01B) 0.02C) 0.04D) 0.33

If a certain medicine cures 90% of the people who take it, what is the probability that if 9 people take the medicine that 6 will be cured?

A) 0.01

B) 0.02

C) 0.04

D) 0.33