Find the mean and standard deviation of the total profit

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Problem 1: A team of 5 analyst is about to examine the earnings prospects of 20 corporations. Each of the 5 analysts will study 4 of the corporations. These analysts are not equally competent. In fact, one of them is a star, having an excellent record of anticipating changing trends. Ideally, management would like to allocate the 4 corporations whose earnings will deviate most from past trends to this analyst. However, lacking this information, management allocates corporations to analyst randomly. What is the probability that at least 2 of the 4 corporations whose earnings will deviate most form past trends are allocated to the star analyst?

Problem 2: An investor plans to divide $200,000 between two investments. The first yields a certain profit of 10%, whereas the second yields a profit with expected value 18% and standard deviation 6%. If the investor divides the money equally between these two investments, find the mean and standard deviation of the total profit.

Reference no: EM13862074

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