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Find the probability of the distribution using the mean x of a random sample of size 65 drawn from a population with a mean of

Find the probability of the distribution using the mean x of a random sample of size 65 drawn from a population with a mean of 112 and a standard deviation of 40. Show your work and find the following;

  • Find the mean and standard deviation of X.
  • Find the probability that X assumes a value between 110 and 114.
  • Find the probability that X assumes a value greater than 113.

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