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(See Steps) Mimi just started her tennis class three weeks ago. On average, she is able to return 30% of her opponent’s serves. Assume her opponent serves 10

Question: Mimi just started her tennis class three weeks ago. On average, she is able to return 30% of her opponent’s serves. Assume her opponent serves 10 times. Show all work. Just the answer, without supporting work, will receive no credit.

  1. Let X be the number of returns that Mimi gets. As we know, the distribution of X is a binomial probability distribution. What is the number of trials (n), probability of successes (p) and probability of failures (q), respectively?(5 pts)
  2. Find the probability that that she returns at least 1 of the 10 serves from her opponent.(10 pts)
  3. How many serves can she expect to return? (5 pts)

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