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Question 12 (10 points) It is known that a congressman has the support of 62% of...

Question 12 (10 points)
It is known that a congressman has the support of 62% of his constituents. Suppose 200 of the congressman’s constituents are selected at random.

  1. (a) (5 points) Compute the probability that the 200-person sample features at most 65 constituents who do not support the congressman.

  2. (b) (5 points) What is the minimal size of a random sample of the congressman’s constituents that must be drawn for there to be a 90% chance that at MOST 70% of the sample supports the congressman?

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