statistics
posted by Jenna .
The Information Systems Audit and Control Association surveyed office workers to learn about the anticipated usage of office computers for personal holiday shopping. Assume that the number of hours a worker spends doing holiday shopping on an office computer follows an exponential distribution.
Round your answers to four decimal places.
a.)The study reported that there is a .53 probability that a worker uses the office computer for holiday shopping 5 hours or less. Is the mean time spent using an office computer for holiday shopping closest to 5.5, 6, 6.6, or 7 hours?
The answer is 6.6.
b.)Using the mean time from part (a), what is the probability that a worker uses the office computer for holiday shopping more than 10 hours?
c.) What is the probability that a worker uses the office computer for holiday shopping between four and eight hours?

If the mean = 6.6, then the probability density function is:
f(x) = (1/6.6)e^(x/6.6)
P(x>10) = 1 int_{0}^{10} ((1/6.6)e^(x/6.6))dx
= e^(10/6.6)
~ 0.2198
P(4<x<8) = P(x>4)  P(x>8)
= e^(4/6.6)  e^(8/6.6)
~ 0.2479
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