To find the possibility using the normal distribution.
The New York Times reported (L.J> Flynn, Tax Surfing, The New York Times, March 25, 2002, p. C10) that the mean time to download the home page for the internal Revenue Service (IRS) , was 0.8 second. Suppose that the download time was normally distributed with a standard deviation of 0.2 sec. If you select a random sample of 30 download times.
a) What is the probability that the sample mean is less than 0.75 second?
b) What is the probability that the sample mean is between 0.70 and 0.90 sec?
c) The probability is 80 percent that the sample mean is between what two alues, symmetrically distributed around the population mean?
d) The probability is 90 percent that the sample mean is less than what value?