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Suppose that the demand for a company's product in weeks 1, 2, and 3 are each normally distributed and the mean demand during each of these three weeks is 50, 45, and 65, respectively. Suppose the standard deviation of the demand during each of these three weeks is known to be 10, 5, and 15, respectively. It turns out that if we can assume that these three demands are probabilistically independent then the total demand for the three week period is also normally distributed. And, the mean demand for the entire three week period is the sum of the individual means. Likewise, the variance of the demand for the entire three week period is the sum of the individual weekly variances. But be careful! The standard deviation of the demand for the entire 3 week period is not the sum of the individual standard deviations. Square roots don't work that way!
Now, suppose that the company currently has 180 units in stock, and it will not be receiving any further shipments from its supplier for at least 3 weeks. What is the probability that the company will run out of units?
What is the probability that a randomly selected customer gets a shave or a haircut?- What is the probability that a randomly selected customer gets neither?
The service times of the arrivals are independent exponential random variables with rate μ, and are independent of the arrival process. Customers depart the system when their service ends. Let N be the number of arrivals before the ?rst departure.
the mean diastolic blood pressure among american men aged 18-44 is known to be 81 mmhg. a random sample 150 canadian
What score would Sandra need to beat 91 percent of her mathematics class? The mean score was 73, and the standard deviation was 12.
Benz-Merc Cars produces four classes of cars: subcompact, compact, intermediate and luxury. BM also produces trucks and vans. Vendor capacities limit total production capacity to at most 1.2 million vehicles per year.
Which hypothesis-testing procedure would you use in the following situations? The mean time an American family lives in a particular single-family dwelling is 11.8 years.
a person has a health saver plan with the likelihood of spending per year 1000 .10 2000 .20 30000.30 and 40000.4. with
What evidence from the fiveother documents would support or oppose the views of Rauschenbusch or Pius?What do all of the documents tell you about the issues and problems that were affecting people's behavior around 1900?
The mean weight of loads of coal placed in train cars by a loading machine is 43.0 tons with a standard deviation of 8.0 tons. Assuming that the weight of loads placed in the train cars by this loader are normally distributed
for the xy data below computea r and determine if it is significantly different from zero.b the slope of the regression
Compute an exponential smoothing forecast with a =.20, an adjusted exponential smoothing forecast with a = .20 and B =.20 and a linear forecast. Compare the three forecast, using MAD and average error (E) and indicate which seem to be most accurat..
a box contains 4 blue marbles 1 red marbles and 6 green marbles. two marbles are selected at random from the box. if x
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