During the course of a day a machine turns out two items, one in the morning and
Question:
(a) In a column, write the sample space for the experiment that consists of observing the day’s production.
(b) Assume a good item returns a profit of $2, a mediocre item a profit of $1, and a bad item yields nothing. Let X be the random variable describing the total profit for the day. In a column adjacent to the column in part (a), write the value of this random variable corresponding to each point in the sample space.
(c) Assuming that the qualities of the morning and afternoon items are independent, in a third column associate with every point in the sample space a probability for that point.
(d) Write the set of all possible outcomes for the random variable X. Give the probability distribution function for the random variable.
(e) What is the expected value of the day’s profit?
Distribution
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Related Book For
Introduction to Operations Research
ISBN: 978-1259162985
10th edition
Authors: Frederick S. Hillier, Gerald J. Lieberman
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