Question
In: Statistics and Probability
(B) A new drug claims to be effective against flu 70% of the time. The drug...
(B) A new drug claims to be effective against flu 70% of the time. The drug is tested on 28 selected patients. a) Use Binomial distribution to find the probability that exactly 21 patients recovered from the flu? (Round your answer to the nearest thousandth). b) What is the mean of the number of patients who recovered from the flu? c) What is the variance of the number of patients who recovered from the flu?
Solutions
Expert Solution
Answer:
Given that:
A new drug claims to be effective against flu 70% of the time. The drug is tested on 28 selected patients.
a) Use Binomial distribution to find the probability that exactly 21 patients recovered from the flu?
According to binomial distribution the probability of occurence of exactly x successes in n trails is given by
We have 
b) What is the mean of the number of patients who recovered from the flu?
For a binomial distribution mean is given as follows
c) What is the variance of the number of patients who recovered from the flu?
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