Let the possible levels of returns from a portfolio of shares be classified as low, medium, or high. The table below shows the marginal probability distribution for returns.Returns low medium highProbability 0.4 p pWhat should p equal for this to be a valid probability distribution? (Your answer should be correct to two decimal places.)

is the probability of getting return. It is measured in terms of deviation between actual return and expected return.*PortfolioInvestmentReturnDerivativeRisk

What distribution does the returns of the portfolio follow

If the following probability distribution is valid, what is P(X=4)? k 1 2 3 4P(X=k) 0.07 0.07  0.04   Please give your answer to 2 decimal places.

Suppose Company 1's stock return 𝑋𝑋 is a random variable and takes three possiblevalues: {-0.1, 0.1, 0.2}. And Company 2's stock return 𝑌𝑌 is a random variable and takes twopossible values: {-0.3, 0.4}. The joint probability distribution 𝑓𝑓(𝑋𝑋, 𝑌𝑌) is given as follows:𝑓𝑓(−0.1, −0.3) = 0.1, 𝑓𝑓(0.1, −0.3) = 0.2, 𝑓𝑓(0.2, −0.3) = 0.2,𝑓𝑓(−0.1,0.4) = 0.2, 𝑓𝑓(0.1,0.4) = 0.2, 𝑓𝑓(0.2,0.4) = 0.1.Please calculate the following:(a) Marginal distributions: 𝑓𝑓𝑋𝑋(𝑥𝑥) and 𝑓𝑓𝑌𝑌(𝑦𝑦). (4 points)(b) Mean: 𝐸𝐸(𝑋𝑋) and 𝐸𝐸(𝑌𝑌). (4 points)(c) Variance: 𝑉𝑉𝑎𝑎𝑟𝑟(𝑋𝑋) and 𝑉𝑉𝑎𝑎𝑟𝑟(𝑌𝑌). (4 points)

An investor has the following portfolio set out below. What is the expected return on the portfolio? Record your answer to the nearest four decimal places (e.g., If your answer is 3.40%, then report 0.0340). Company Return Beta $ invested TTYL Ltd 0.217 2.1 39,000 FML Ltd 0.042 0.35 28,000 IDK Ltd 0.088 0.57 19,000 Government Bonds 0.022 36,000