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Question: The Outcome (A or B) sometimes is called the union of A and B. The union event occurs if either Outcome A or Outcome B (or both) occurs. Suppose that both A and B can happen at the same time (i.e., their areas overlap in a Venn diagram). Show that P(A or B) = P(A) + P(B) P(A and B). Use a Venn diagram to explain. Why is this result consistent with the second requirement that probabilities add up?
Define α = √2 + √3. Show that Q(α) = Q(√2, √3). Find the minimum polynomial of α over Q
How would you select appropriate statistical tests to analyze research data? What aspects of research questions or data types are relevant considerations in choosing your tests?
If the specifications are 10 ± 2 mm for a particular quality characteristic and the average repair coot is Rs. 200/-, determine the loss function.
Assume your ?rm has 20 shares of equity, a 10-year zero-coupon debt with a maturity value of $200 and warrants for 8 shares with a strike price of $25. Calculate the value of the debt, the share price, and the price of the warrant.
In the Rawhide Company (a leather products distributor), decisions regarding approval of proposals for capital investment are based upon a stipulated MARR.
A spindle with specifications 20 ± 0.05 mm was machined in a lathe. The standard deviation of the spindle machined was found to be 0.25 mm.
The Game of Morra. Two players simultaneously throw out one or two fingers and call out their guess as to what the total sum of the outstretched fingers.
Math 054 Partial Differential Equations - HW Assignment 1. Derive the discrete heat equation in one-dimension. Show all work. Find δyδyu(x, y, z, t)
Formulate the problem as a linear program. Interpret the resulting model as a network-flow problem. Draw the corresponding network diagram.
Jane Reed bakes breads and cakes in her home for parties and other affairs on a contract basis. Jane has only one oven for baking.
For g(x) = x2, 0
Each of its printing works at Hill and Bath can produce up to 35,000 copies by the deadline. Given the following table of transportation costs (in pence per booklet), determine how many copies should be produced at Hull and at Bath and how should ..
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