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Calculating various probabilities

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A new drug cures 80% of the patients to whom it is administered. It is given to 25 patients. Find the probabilities that among these patients, the following results occur.
a. Exactly 20 are cured.
b. All are cured.
c. No one is cured.
d. Twelve or fewer are cured.

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Solution Summary

The solution calculates various probability values for the given case.

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Please refer attached file for better clarity of formulas and tables.

Solution:

Here p=0.8
q=1-0.8=0.20
n=25
We can use binomial distribution
We can generate probability distribution for n=25, p=0.8 using BINOMDIST function in MS Excel
Number of success Probability
0 0.00000
1 0.00005
2 ...

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Education
  • BEng (Hons) , Birla Institute of Technology and Science, India
  • MSc (Hons) , Birla Institute of Technology and Science, India
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