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1) Consider an inventory system in which the sequence of events during each period is as follows. (1) We observe the inventory level (call it i) at the beginning of the period. (2) If i < 1, then 4- i units are orders. If i > 2, then 0 units are ordered. Delivery of all ordered units is immediate. (3) With probability 1/3, 0 units are demanded during the period; with probability 1/3, 1 unit is demanded during the period; and with probability 1/3, 2 units are demanded during the period. (4) We observe the inventory level at the beginning of the next period. Define a period s state to be the period s beginning inventory level. Determine the transition matrix that could be used to model this inventory system as a Markov chain.
A total of 258 tickets were sold for a school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
As we know, a set is just a collection of objects that are similar in some way, like a gaggle of geese, pride of lions, or an army of ants. To further classify our world, we can create subsets from a larger set. Let's consider the idea of a subset..
The group of even permutations of n symbols is denoted by A_n and is called the alternating group of degree n. Show that A_8 contains an element of order 15.
A student claims that anything that can be accomplished by a translation can be accomplished by a reflection. She claims that if A' is the image of A under a translation, then A' can be obtained by a reflection in the line(which is the perpendicul..
A clock company is concerned about errors in assembly of their custom made clocks. A random sample of 120 clocks from today's production yields nine clocks with assembly errors.
Resigning Probabilities, A company finds that on average 20% of all new employees resign during their first year of employment
Find the vertical asymptote of the function f(x) 5x^2 - 4/x+1 show a work and answer. Find the vertical and horizontal asymptotes of the function g(x) =x+7/x^2 - 4
Solve The heat equation du/dt = d^2u / dx^2 (note: partial derivatives), u(x, 0) = sin^2(x), u(0, t) = 0, u(Pi, t) = 0, 0
An employee of the National Parks Service told you about a location in Washington, DC. It is a large grassy area south of the White House known as the Ellipse. The National Tree Lighting Ceremony is held annually on the Ellipse.
One end of a rope is attached to the top of a pole 100 ft high. If the rope is 150 ft long, what is the maximum distance along the ground from the base of the pole to where the other end can be attached? You may assume that the pole is perpendicul..
Using the readings discussed in this course, provide one real-world application of the information learned that has been the most valuable to you. Why has it been valuable?
Make a 95 percent confidence interval on the variable age.
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