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The time a visitor to a Web site views the home page is modeled with an exponential distribution with a mean of 20 seconds. (a)

The time a visitor to a Web site views the home page is modeled with an exponential distribution with a mean of 20 seconds.

(a) Determine the probability that the home page is viewed for more than 30 seconds.

(b) Determine the probability that the home page is viewed for a time greater than the mean.

(c) If the home page has already been viewed for 1 minute, determine the probability that the home page is viewed for an additional 30 seconds.

(d) A visit with an unusually long view time is of interest to the Web master. Determine the probability that the home page is viewed for a time greater than the mean plus three times the standard deviation.

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