Problem 1 A pharmaceutical company has developed 10 new promising drugs. Six of them are against malaria and four are against dengue fever. However, the drugs must first succeed in control trials before they get approved. The success of each drug is independent of the others. The probability of success of each malaria drug in the control trials is 0.5, while the probability of success of each of the dengue fever drugs is only 0.25. (a) (b (c) Out of the 10 drugs, how many should we expect to succeed in the control trials? What is the probability that all the 10 drugs fail? What is the probability that only one of the 10 drugs succeeds?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Problem 1
A pharmaceutical company has developed 10 new promising drugs. Six of
them are against malaria and four are against dengue fever. However, the drugs must first succeed
in control trials before they get approved. The success of each drug is independent of the others.
The probability of success of each malaria drug in the control trials is 0.5, while the probability of
success of each of the dengue fever drugs is only 0.25.
(a)
(b
(c)
Out of the 10 drugs, how many should we expect to succeed in the control trials?
What is the probability that all the 10 drugs fail?
What is the probability that only one of the 10 drugs succeeds?
Transcribed Image Text:Problem 1 A pharmaceutical company has developed 10 new promising drugs. Six of them are against malaria and four are against dengue fever. However, the drugs must first succeed in control trials before they get approved. The success of each drug is independent of the others. The probability of success of each malaria drug in the control trials is 0.5, while the probability of success of each of the dengue fever drugs is only 0.25. (a) (b (c) Out of the 10 drugs, how many should we expect to succeed in the control trials? What is the probability that all the 10 drugs fail? What is the probability that only one of the 10 drugs succeeds?
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