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You are investing in a stock, which returns and probability density functions are as follow: = () = 0.5 0.5 () = 84 0.4 1.4

You are investing in a stock, which returns and probability density functions are as follow: = () = 0.5 0.5 () = 84 0.4 1.4 Please answer the following questions:

a- Calculate the probability that xi will fall between 40% and 60%.

b- Calculate the mean and variance for this investment.

c- What are the importance and logic behind using the integral operator in calculating the mean and variance in this case?

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