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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?
compute the probability of being dealt at random and without replacement a 13-card bridge hand consisting of 13 cards
x is a normally distributed random variable with a mean of 5.0. find the standard deviation of the distribution if
a firm wanted to see if there was a significant difference between two neighboring communities in terms of the mean
If (K, d) is a compact metric space and u ∈ K , show that for any finite M and 0 α ≤ 1, { f ∈ Lip(α, M ): | f (u)|≤ M } is compact for dsup. 2. If S = [0, 1] with its usual metric and α > 1, show that Lip(α, 1) contains only constant functions...
In a study of high-achieving high school graduates, the authors of the report "High-Achieving Seniors and the College Decision"
A. What is the point estimate of µ1 - µ2? Round to two decimal places.
At a 1% level of significance, test to see if the proportion of voters has changed. QUESTION 1: What is the best type of hypothesis test to apply for this problem?
test the slope of the regression line for the following data. use alpha equals .01.x 139 118 104 88 66 29 25y 26 30 48
Design and First Question on Response Rates for a Mail Survey of Skydivers" (Leisure Science, 1991) tested this theory by experimenting with different cover designs.
What should the cut-off score be for the interviews? (Round to nearest whole number).
CBS reported on a study that explored the question of whether or not parents of dying children should talk to their children about death
From setup to monitoring. Suppose that when the chart setup project of Example 27.8 is complete, the points remaining after removing special causes have = 48.7 and = 0.92. What are the center line and control limits for the and s charts you woul..
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