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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.
How many passengers are required in the sample to reduce in half the sampling error within which we need to estimate the proportion of passengers who had purchased tickets for more than $400 over a year's time?
Attendance at the Fireman's Ball has been declining. Each year, the number attending is 2/3 of the previous year's attendance and the cost of food is 3/4 that of the previous year.
In a mechanical system, the displacement of a body, s meters, is related to time t seconds, by the integral: Determine an expression in terms of r and k, for the time taken by the body to travel a distance g/k meters from its initial position.
Show that the real part of the function z^(1/2) is always positive. Suppose f: G --> C ( C complex plane) is analytic and that G is connected. Show that if f(z) is real for all z in G, then f is a constant.
According to the data from the U.S. Department of Commerce, movie-theater box-office receipts (in millions of dollars) in year x can be approximated by y= 535.43x+5362.21, where x=0 corresponds to 1995. Assume that this equation remains valid unti..
A particle's position is give by s = 3t^3 - t^2 + 2t. What is it's acceleration at t=2? This seemed too easy.
Find the probability on poisson distribution.
Find the probability of observing
Trace the algorithm below and track the number of times that the addition operation (+) is executed over the course of the program's run time. Answer the question by giving a formula in terms of n:
80 books will be divided among 6 people. No two people will receive the same number of books. Find the maximum number of books
Sketch graphs using Mathcad for the following functions and state whether they are odd or even or neither
The marketing research department for a computer company used a large city to test market their new product. They found that the demand equation was p= 1296-0.12 x^2.
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