Pearson eText for Probability & Statistics for Engineers and Scientists with R -- Instant Access (Pearson+)
1st Edition
ISBN: 9780137548552
Author: Michael Akritas
Publisher: PEARSON+
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Consider a single-server queueing system that can hold a maximum of two customers excluding those being served. The
server serves customers only in batches of two, and the service time (for a batch) has an exponential distribution with a
mean of 1 unit of time. Thus if the server is idle and there is only one customer in the system, then the server must wait
for another arrival before beginning service. The customers arrive according to a Poisson process at a mean rate of 1 per
unit of time.
(1). Draw the rate diagram. (Hint: think about how the state will change after one service completion.)
(2). Set
up the rate balance equations. (Hint: use the rate balance equations 1.)
(3). Compute pn and L.
(4). Compute the actual mean arrival rate Ā.
Construct a histogram for the spot weld shear strength datain Exercise 6.2.9. Comment on the shape of the histogram. Doesit convey the same information as the stem-and-leaf display?
Reference: Exercise 6.2.9 is found in the image attached below
The 2004 presidential election exit polls from the critical state of Ohio provided the following results. The exit polls had 2020 respondents, 768 of whom were college graduates. Ofthe college graduates, 412 voted for George Bush.a. Calculate a 95% confidence interval for the proportion ofcollege graduates in Ohio who voted for George Bush.b. Calculate a 95% lower confidence bound for the proportion of college graduates in Ohio who voted for George Bush.
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