The speed in which the home page of a website is downloaded is an important quality characteristic of that website. Suppose that the mean time to download the home page for the Internal Revenue Service is 1.2 seconds. Suppose that the download time is normally distributed, with a standard deviation of 0.2 second. What is the probability that a download time is
a. Less than 2 seconds?
b. Between 1.5 and 2.5 seconds?
c. Above 1.8 seconds?
d. 99% of the download times are slower (higher) than how many seconds ?
e. 95% of the download times are between what two values, symmetrically distributed around the mean?
f. Suppose that the download times are uniformly distributed between 0.45 and 1.95 seconds. What are your answers to (a) through (e)?