Five independent trials of a binomial experiment with probability of success p =
ID: 2896005 • Letter: F
Question
Five independent trials of a binomial experiment with probability of success p = 0.4 and probability of failure q = 0.6 are performed. Find the probability of the event. (Round your answer to five decimal places.) A certain disease has a mortality rate of 65%. A new drug is tested for its effectiveness against this disease. Ten patients are given the drug, and seven of them recover. Find the probability that seven or more of the patients would have recovered without the drug. (Round your answer to five decimal places.) Does the drug appear to be effective? (Consider the drug effective if the probability in part (a) is 0.05 or less.)Explanation / Answer
(1) Number of trails (n) = 5
Number of specific events (r) = 2
Probablity the event accur or success (p) = 0.4.
Probablity the event not accur or failure (p) = (1-0.4.)
The probability of an event accur of binomial probability = nCr*p^r*Q^(n-r)
= 5C2*(0.4)^2 * (1-0.4)^3
= .34560
Answer
(2) Total no of Patient provided the drug = 10
Recover patient by the drug = 7
Probablity of recover patient = no of favurable outcomes / total no of outcomes
= 7/10
= 0.700
Answer
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