Assume a normal distribution of the form N(100, 100), answer thefollowing questions:
What proportion of the distribution falls within 1 standarddeviation of the mean (e.g., within -1 and 1 standarddeviation)?
What is the probability of a single draw from that distributionhas a value greater than 115?
What is the range that captures the middle 95% of the populationdistribution?
If I randomly sample 10 observations from this distribution andcalculate a mean, what is the probability that this mean is greaterthan 106?
If we center the sampling distribution on 100, then what is therange that will capture 95% of the means calculated from a sampleof 20 observations?
