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The Solomon, Smith, and Samson law firm produces many legal documents that must be word processed for clients and the firm. Requests average 19 pages of documents per hour, and they arrive according to a Poisson distribution. The secretary can word process 20 pages per hour on average according to an exponential distribution.
a. The average utilization rate of the secretary is % utilization. (Enter your response as a percentage rounded to the nearest whole number.)
b. The probability that more than four pages are waiting or being word processed is _____. (Enter your response rounded to three decimalplaces.)
c. The average number of pages waiting to be word processed is ____pages. (Enter your response rounded to two decimal places.)
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