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The following table is a partial probability distribution for a company projected profits (x=profit in $1,000, the negative value indicates a loss) next year. x

The following table is a partial probability distribution for a company projected profits (x=profit in $1,000, the negative value indicates a loss) next year.
x f(x)
-40 0.3
40 0.2
50 ?
100 0.1
240 0.15
300 0.05
a. What is f(50)? Why?
b. What is P(X 40)?
c. What is the expected value of x, E(x) = mx?
d. What is the standard deviation of x, s.d.(x) = sx?

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