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Let b be 59. Let c be 67. Suppose X∼B(59,0.67). For this distribution, is the normal...

  1. Let b be 59. Let c be 67. Suppose X∼B(59,0.67).
    1. For this distribution, is the normal approximation reasonable? Your answer must make reference to skewness.
    2. If you take a sample of size 120, what's the approximate probability that the proportion of successes will be larger than 0.65? (Answer this regardless of your answer to a.)
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