Question: For each part of this problem i) Write a probability statement ii) Write calculator command statement involved in determining given probability . Intelligence quotient (IQ)

For each part of this problem

i) Write a probability statement

ii) Write calculator command statement involved in determining given probability.

Intelligence quotient (IQ) scores are often reported to be normally distributed with = 100.0 and = 15.0

  1. What is the probability of a person chosen at random having an IQ score of less than 95?
  2. If a random sample of 50 people is taken, what is the probability that their mean IQ score will be less than 95?
  3. If a random sample of 50 people is taken, what is the probability that their mean IQ score will be more than 95?
  4. If a random sample of 50 people is taken, what is the probability that their mean IQ score will be more than 105?
  5. If a random sample of 50 people is taken, what is the probability that their mean IQ score will differ from the population mean by more than 5?

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