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You have a normally distributed population with 2000 people. The average height for this population is...

You have a normally distributed population with 2000 people. The average height for this population is 5.5 feet and the variance for the population is 0.25.

a) The probability that a randomly selected person has a height between 5 and 6 feet

b)The probability that the mean of sample is less than 5.4 feet

c) You have a slightly skewed population with 2000 people, you randomly select 37 people from this population and measure each person's height. Can you use a normal distribution for the mean of this sample?

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