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Over the course of a clinical trial, 8,000 participants are given a trial drug for migraines....

Over the course of a clinical trial, 8,000 participants are given a trial drug for migraines. Suppose that the probability of the drug reducing migraines is 0.65.

  1. What is the probability that precisely 5250 participants will experience a reduction in migraines?
  1. What is the probability that at least 5250 participants will experience a reduction in migraines?
  1. What is the expected number of participants who will experience a reduction in migraines?
  1. What is the variance of the number of people who will experience migraines?
  1. What is the probability that no more than 3000 participants will not experience a reduction in migraines?
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