Portfolio optimization
November 4, 2018
Project Management
November 4, 2018

Probabilty

Solve the hyperbolic cosine function
1. Cosh(x+y) = cosh x cosh y + sin x sin y
2. Prove the addition formula for the hyperbolic sine function
Sin h(x+y) = sin h cosh y + cosh x sinh y
Solve the probability equations
3. A die is rolled and a coin is tossed, find the probability that the die shows an odd number and the coin shows a head.
4. Two dice are rolled, find the probability that the sum is

a) equal to 1

b) equal to 4

c) less than 13

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