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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?
Modeling - Math 056 - Homework 7. Define the remaining necessary parameters and write a linear system of differential equations to model the behavior. For the students who have taken differential equations, find solutions for x1(t), x2(t)
If you compare Amazon.com and a brick-and-mortar retail firm (such as Barnes and Noble), does Amazon.com need to hold more safety stock than the other firm? Which firm's reorder level is higher?
Suppose that stars are distributed in space according to a 3-dimensional Poisson process with parameter λ (for simplicity, take space to be R3 without worrying about whether the universe is finite or infinite). You are at the origin. Find the distri..
Suppose that in the absence of human intervention the stock of tuna (z) would change according to the following equation: dz/dt = 10z - 0.02z2.
Determine the maximum allowable spacing of nominal 2 X 4-in (50 X 100-mm) studs for a wall form sheathed with nominal I-in. (25-mm) lumber.
A light-duty pickup truck has a manufacturer's suggested retail price (MSRP) of $14,000 on its window. After haggling with the salesperson for several days.
(1) Determine the interior, closure, and boundary of each set. (a) The filled-in ellipse in R2, R = {(x, y) : x2 + 3y2
The mobile phone industry is beginning to implement Near-Field Communications (NFC) technology that will facilitate contactless payments among smartphones.
The slopes in the direction field are all identical along horizontal lines and new solutions can be generated from old ones by time shifting (i.e., replacing y(t) with y(t - t0).
a. Formulate a linear programming model and solve. b. How many acres of farmland will not be cultivated at the optimal solution? Do the Collins use the entire 100 acre allotment?
The owner of the hotel mentioned in Problem falls on hard times and dispenses with replacement of the bulbs. She notices that more than half of the bulbs.
Using the notation of Figure state precise conditions for detecting infeasibility and/or unboundedness in the self-dual simplex method.
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