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bakerj5203
19.03.2020 •
Mathematics
Advanced Assembly, Inc. manufactures machine parts. One assembly line has a robotic welding station that takes a fixed time of 47 seconds to perform its welding operation. Parts come down the assembly line at a rate of 55 per hour, following a Poisson distribution.
(a) Determine the average number of parts waiting to be welded at this station.
(b) Calculate the average time a part waits at this station before welding begins.
(c) What percent of the time is the robot idle (not welding)?
(d) What is the average time a part spends at this station (including time in line)? Hint: The service time is fixed at 47 seconds.
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Ответ:
Step-by-step explanation:
Using the concept of poisson distribution and exponential distribution to solve.
The arrival rate = 55/hr follows the poisson distribution
The service rate = 47/sec follows then exponential distribution
The step by step analysis and appropriate calculation and substitution is as shown in the attached file.
Ответ:
To find out the coordinates of a point in the coordinatesystem you do the opposite. Begin at the point and follow a vertical line either up or down to the x-axis. There is your x-coordinate. And then do the same but following a horizontal line to find the y-coordinate