# Probability Solution Formula

**Topics:**Random variable, Probability density function, Expected value

**Pages:**1 (294 words)

**Published:**January 7, 2013

a. 3 of the cakes;

b.4 of the cakes;

c.5 of the cakes.

18. If a contractor’s profit on a construction job can be looked upon as a continuous random variable having the probability density For -1 < x < 5

elsewhere

(x+1)

f(x) = { 118 0

22. Mr. Adams and Ms. Smith are betting on repeated flips of a coin. At the start of the game Mr. Adams has a dollars, Ms. Smith has b dollars, at each flip the loser pays the winner one dollar, and the game continues until either player is “ruined.” Making use of the fact that in an equitable game each player’s mathematical expectation is zero, find the probability that Mr. Adams will win Ms. Smith’s b dollars before he loses his a dollars.

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