Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take on average 10 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. Required:
a. What percentage of time is Judy idle?
b. How much time, on average, does a student spend waiting in line?
c. How long is the (waiting) line on average?
d. What is the probability that an arriving student (just before entering the Administrative Services Office) will find at least one other student waiting in line?

Find a company that has followed a strong strategic direction- state that generic strategy and the back-up points to support your position.

Aproduction line has three machines a, b, and c, with reliabilities of .96, .86, and .85, respectively. the machines are arranged so that if one breaks down, the others must shut down. engineers are weighing two alternative designs for increasing the line’s reliability. plan 1 involves adding an identical backup line, and plan 2 involves providing a backup for each machine. in either case, three machines (a, b, and c) would be used with reliabilities equal to the original three. a. compute overall system reliability under plan 1. (round your intermediate calculations and final answer to 4 decimal places.) reliability b. compute overall system reliability under plan 2. (round your intermediate calculations and final answer to 4 decimal places.) reliability c. which plan will provide the higher reliability? plan2plan1

In 2018, laureen is currently single. she paid $2,800 of qualified tuition and related expenses for each of her twin daughters sheri and meri to attend state university as freshmen ($2,800 each for a total of $5,600). sheri and meri qualify as laureen’s dependents. laureen also paid $1,900 for her son ryan’s (also laureen’s dependent) tuition and related expenses to attend his junior year at state university. finally, laureen paid $1,200 for herself to attend seminars at a community college to her improve her job skills.what is the maximum amount of education credits laureen can claim for these expenditures in each of the following alternative scenarios? a. laureen's agi is $45,000.b. laureen’s agi is $95,000.c. laureen’s agi is $45,000 and laureen paid $12,000 (not $1,900) for ryan to attend graduate school (i.e, his fifth year, not his junior year).