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In: Statistics and Probability

At central hospital, there is a 27% chance that a patient will get an infection. We...

At central hospital, there is a 27% chance that a patient will get an infection. We take a random sample of 25 patients. Find the following probabilities. (round all answers to 4 decimal places)

a. What is the probability that 3 or fewer of the patients will get an infection?

b. Find the probability that more than 10 of the patients will get an infection.

c. How likely is it that less than 6 would get an infection?

d. Compute the probability that at least 9 patients will get an infection.

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