Posted by **John** on Sunday, October 27, 2013 at 6:23pm.

7. The random variable X is distributed normally with a mean of 12.46 and variance of 13.11. You collect a random sample of size 37.

a. What is the probability that your sample mean is between 12 and 13?

b. What is the probability that a single observation is between 12 and 13?

c. What is the probability that all of your observations are between 12 and 13?

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