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If the economy does well, the investor's wealth is 2 and if the economy does poorly the investor's wealth is 1. Both outcomes are equally likely. The investor is offered to invest in shares of a project that gains 3=2 if the economy does well and loses 1 if the economy does poorly. Therefore, if the investor obtains α shares of this project his wealth is 2 + 3α/2
with probability 1/2 and 1= α with probability 1/2. The investor is an expected utility maximizer with utility index u(z) = ln z. What is the optimal α for this investor? ( α must be between 0 and 1).
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OmegaPlus Pty.Ltd. is a chain of Health Food stores operating in Australia: with 12 stores across Sydney, Melbourne and Brisbane. OmegaPlus has recently appointed a new CEO: San
Classification of Universe The universe may be classified either on the basis of number of units and on the basis of existence of units as is clear from the following chart :
You will recall the function pnorm() from lectures. Using this, or otherwise, Dteremine the probability of a standard Gaussian random variable exceeding 1.3. Using table(), or
Median Median is a position average. It is the value of middle item of a variable when the items are arranged according to their values either in ascending or descending order.
Charts when the Mean and the Standard Deviation are not known We consider the data corresponding to the example of Piston India Limited. Since we do not know population mean a
There are n seats on an airplane and n passengers have bought tickets. Unfortunately, the first passenger to enter the plane has lost his ticket and, so he just chooses a seat at r
Different analyses of recurrent events data: The bladder cancer data listed in Wei, Lin, and Weissfeld (1989) is used in Example 54.8/49.8 of SAS to illustrate different anal
What is an example of a real life situation when I would use each of these test
#question what is the statistical process to reduce hardness of water
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