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The king has one sibling only. Here we are going to find out what is the probability that the sibling is male. Here is the hint you can assume that the probability of the birth of the male is ½ i.e. independent of other births. Please be careful about the additional assumptions that you will state to reach the answer.

Sport Obermeyer has to decide how many parkas to produce in this session of Winter 2019. The demand for the parkas depends on the Normal distribution with a mean 1200 and standard deviation 130. Here in this question, the Sport Obermeyer has 1250 Parkas. You need to find the probability that the demand is fully met.

You need to create a portfolio that is with three assets o.e. Bound A, bound B and Stock C. Their expected returns value on the investment horizon are µA = 3%, µB = 12%, µC =15%. The standard deviations of the returns are σA = 2%, σB = 8%, σC = 40%. The correlation between the assets are ρAB = −0.3, ρAC = −0.4, ρBC = 0.

Suppose that you have a portfolio in which the investor put 70% of the money in stock B and 15% on stock C i.e. P=0.7+1.5C. Find out the expected return and standard deviation. You can assume that the investor has a risk tolerance of σP = 25%. It means the Portfolio standard deviations can not exceed 25%. All you need to do is construct the portfolio with an expected return under the given risk constraint. Take the help of statistics software to solve this problem.

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