# A Normally distributed population

**Question description**

A normally distributed population has mean 57.7 and standard deviation 12.1.

- Find the probability that a single randomly selected element
*X*of the population is less than 45. - Find the mean and standard deviation of X⎯⎯ for samples of size 16.
- Find the probability that the mean of a sample of size 16 drawn from this population is less than 45.

- Find the probability that a single randomly selected element

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