The Solomon, Smith, and Samson law firm produces many legal documents that must be word processed for clie the firm. Requests average $10$ pages of documents per hour, and they arrive according to a Poisson distribution. secretary can word process $14$ pages per hour on average according to an exponential distribution.

a$.$ The average utilization rate of the secretary is $72\%$ utilization. $($Enter your response as a percentage roundec nearest whole number.$)$

b$.$ The probability that more than four pages are waiting or being word processed is $($Enter your response rounded to three decimal places.$)$

c$.$ The average number of pages waiting to be word processed is pages. $($Enter your response rounded to tw decimal places.$)$