The long-term capital depreciation group owns a portfolio that has $20,000 in a fund holding us stocks, and $30,000 in a fund holding european stocks. the annual return on the us fund is (approximately) normally distributed with mean 10% and standard deviation 5%. the annual return on the european fund is (approximately) normally distributed with mean 1% and standard deviation 8%. the covariance between the two funds’ annual returns is 0.002. (a) compute the probability distribution of the value of the long-term capital depreciation group’s portfolio after one year. (b) what is the probability that the value of their portfolio at yearend is less than $50,000?

answer: 12

step-by-step explanation:

because yes

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

ur right ive taken the test

step-by-step explanation:

image for option 4

step-by-step explanation:

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