[Solution] The population of IQ scores in a community college has a mean of 110 with a standard deviation of 10. Find the probability that a random sample of


Question: The population of IQ scores in a community college has a mean of 110 with a standard deviation of 10.

  1. Find the probability that a random sample of size 36 selected from this population will have a sample mean IQ score between 108 & 112.
  2. Find the probability that a random sample of size 81 selected from this population will have a sample mean IQ score between 108 & 112.
  3. Find the probability that a random sample of size 100 selected from this population will have a sample mean IQ score between 108 & 112.
  4. What happens to the probability of this event as the sample size increases?

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