Reference no: EM132224538
1. A vanilla shake machine requires a constant two minutes to make the special vanilla shake served at the Burger Shack. The machine can process one vanilla shake at a time. Requests for the special shake occur every 5 ?minutes, or 12 per hour on average.
a. The probability that the shake machine is busy is nothing. ?(Enter your response rounded to two decimal? places.)
b. The probability the shake machine is not busy is nothing. ?(Enter your response rounded to two decimal? places.)
c. The average amount of time spent waiting to use the shake machine is nothing ?minute(s). ?(Enter your response rounded to one decimal? place.)
d. The average amount of time spent in the shake process? (waiting and processing? time) is nothing ?minute(s). ?(Enter your response rounded to one decimal? place.)
e. The average number of shakes ordered but not yet started processing? (i.e., waiting) is nothing. ?(Enter your response rounded to two decimal? places.) f. The average number of shakes in process? (ordered but not yet delivered to? customers) is nothing. ?(Enter your response rounded to two decimal? places.)
2. A? quick-service restaurant has a single? drive-through lane with one worker at the window. It is assumed that the worker can process an order every 2 minutes on average and that the processing? (service) times are exponentially distributed. Customers arrive at the? drive-through at the rate of 11 per hour.
a. The worker at the? drive-thru is busy nothing?% of time. ?(Enter your response rounded to two decimal? places.)
b. The average number of cars waiting at the? drive-thru is nothing. ?(Enter your response rounded to two decimal? places.)
c. The number of? cars, on? average, in the? drive-thru system is nothing. ?(Enter your response rounded to two decimal? places.)
d. The average time a car spends waiting in the? drive-thru is nothing ?minute(s). ?(Enter your response rounded to one decimal? place.)
e. The? time, on? average, spent in the? drive-thru system is nothing ?minute(s). ?(Enter your response rounded to one decimal? place.)
3. Calculate the overall reliability of the following? product:
Variable A- 0.93
Variable B-0.91
Variable C-0.86