ps) Let X, be the price (in dollars) of stock i one year from now. X1 is N(20, 100) and X2 is N(15, 25). Today I buy four shares of stock 1 for $15/share and three shares of stock 2 for $11/share. Assume X, and X, are independent normally distributed random variables. • Find the mean and variance of the value of my stocks one year from now. • What is the probability that one year from now I will have earned at least a 25% return on my investment? If X1 and X2 were not independent, why would it be difficult to answer previous parts?

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p..s) Let X, be the price (in dollars) of stock i one year from now. X1 is N(20, 100)
and X2 is N(15, 25). Today I buy four shares of stock 1 for $15/share and three shares of stock 2 for
$11/share. Assume X1 and Xy are independent normally distributed random variables.
• Find the mean and variance of the value of my stocks one year from now.
• What is the probability that one year from now I will have earned at least a 25% return on my
investment?
If X1 and X2 were not independent, why would it be difficult to answer previous parts?
Transcribed Image Text:p..s) Let X, be the price (in dollars) of stock i one year from now. X1 is N(20, 100) and X2 is N(15, 25). Today I buy four shares of stock 1 for $15/share and three shares of stock 2 for $11/share. Assume X1 and Xy are independent normally distributed random variables. • Find the mean and variance of the value of my stocks one year from now. • What is the probability that one year from now I will have earned at least a 25% return on my investment? If X1 and X2 were not independent, why would it be difficult to answer previous parts?
Expert Solution
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Given information:

X1~N20, 100X2~N15, 25

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