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A manufacturing company regularly consumes a special type of glue purchased from a foreign supplier. Because the supplier is foreign, the time gap between placing an order and receiving the shipment against that order is long and uncertain. This time gap is called "lead time." From past experience, the materials manager notes that the company's demand for glue during the uncertain lead time is normally distributed with a mean of 187.6 gallons and a standard deviation of 12.4 gallons. The company follows a policy of placing an order when the glue stock falls to a predetermined value called the "reorder point." Note that if the reorder point is x gallons and the demand during lead time exceeds x gallons, the glue would go "stock-out" and the production process would have to stop. Stock-out conditions are therefore serious.
a. If the reorder point is kept at 187.6 gallons (equal to the mean demand during lead time) what is the probability that a stock-out condition would occur?
b. If the reorder point is kept at 200 gallons, what is the probability that a stockout condition would occur?
c. If the company wants to be 95% confident that the stock-out condition will not occur, what should be the reorder point? The reorder point minus the mean demand during lead time is known as the "safety stock." What is the safety stock in this case?
d. If the company wants to be 99% confident that the stock-out condition will not occur, what should be the reorder point? What is the safety stock in this case?
(a) Construct a stem-and-leaf display. (b) Construct a frequency histogram and interpret. (c) Construct a pie chart and interpret.
A random process has sample functions of the form X(t)=A, where A is a Rayleigh distributed random variable with mean of 4. Is this process wide sense stationary? If so, why?
Comparing the results from (a) and (e), what happens to the required sample size when we increase the confidence level?
In a laboratory experiment, data were gathered on the life span (Y in months) of 33 rats, units of daily protein intake (X1), and whether or not agent X2 (a proposed life extending agent) was added to the rats diet (X2 = 0 if agent X2 was not added, ..
Furthermore, you could also perform a regression on the data so you have a model with which you can predict other people's IQs based on their mother's IQ.
The power transmission cable has a weight per unit length of 15 lb/ft . If the lowest point of the cable must be at least 90 ft above the ground, determine the maximum tension developed in the cable and the cable's length between A and B
You can go to the website www.baking.m-ms.com and click the United States on the map, then clickAbout M&M's,thenProductsandPeanutand find the percentage breakdown according to the manufacturer, as well as a brief history of the product.
it is decided to measure the resistance of sheets of a certain metal at temperatures x of 100k 200k 300k 400k and
The woman then starts walking around the rim clockwise (as viewed from above the system) at a constant speed of 1.5 m/s relative to the Earth. With what angular speed does the turntable rotate?
the author recorded actual temperatures along with temperatures that were predicted 5 days earlier. results are listed
Next, redefine the weave parameters, first by 90o rotating the weaving pattern, and second by considering the opposite face of the weaving pattern, on both initial orientation and 90o rotated orientation of the weaving pattern. Is this a twill or ..
Results of a statistical survey and analyze processed data and what proportion of homes subscribe to telephone service from Ashland? Would you say this portion is small, medium, or large?
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