Answer to Question #24187 in Statistics and Probability for winston

Question

1) Suppose an antibiotic has been shown to be 70% effective against a common bacteria.
a) If the antibiotic is given to five unrelated individuals with the bacteria, what is the probability that it will be effective in exactly three?
b) What is the probability that the antibiotic is effective in exactly three patients out of five (when the probability of effectiveness in a single patient is 70%).
c) What is the probability that the antibiotic will be effective in none of the five?