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Mathematics, 25.01.2022 08:00 nunu7773

4. A drug manufacturer claims that its flu vaccine is 85% effective; in other words, each person who is vaccinated stands an 85% chance of developing immunity. Suppose that 200 people
are vaccinated. Let x be the number that develops immunity.
a. What is the distribution of x?

b. What is the mean and standard deviation for x?

c. What is the probability that between 165 and 180 of the 200 people who were vaccinated
develop immunity? (Hint: Use a normal distribution to approximate the distribution of x.)

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