An analyst has available two forecasts, F1 and F2, of earnings per share of a corporation next

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An analyst has available two forecasts, F1 and F2, of earnings per share of a corporation next year. He intends to form a compromise forecast as a weighted average of the two individual forecasts. In forming the compromise forecast, weight X will be given to the first forecast and weight (1 €“ X), to the second, so that the compromise forecast is XF1 + (1 €“ X)F2.
The analyst wants to choose a value between 0 and 1 for the weight X, but he is quite uncertain of what will be the best choice. Suppose that what eventually emerges as the best possible choice of the weight
X can be viewed as a random variable uniformly distributed between 0 and 1, having the probability density function
An analyst has available two forecasts, F1 and F2, of

a. Graph the probability density function.
b. Find and graph the cumulative distribution function.
c. Find the probability that the best choice of the weight X is less than 0.25.
d. Find the probability that the best choice of the weight X is more than 0.75.
e. Find the probability that the best choice of the weight X is between 0.2 and 0.8.

Corporation
A Corporation is a legal form of business that is separate from its owner. In other words, a corporation is a business or organization formed by a group of people, and its right and liabilities separate from those of the individuals involved. It may...
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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Statistics For Business And Economics

ISBN: 9780132745659

8th Edition

Authors: Paul Newbold, William Carlson, Betty Thorne

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