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Three-person Problem of Points: Pascal, Fermat and their old friend the Chevalier de Mere each put $10.00 into a pot, and agree to play a game that has rounds. Each player has the same probability of winning each round. They agree to play until someone has won 10 rounds, and that person will get the entire pot. However, they are forced to stop playing after Pascal has won 8 rounds, Fermat has won 7 rounds and the Chevalier has won 9 rounds. How should they divide the pot?
Definition 1: Given the function f (x ) then 1. f ( x ) is concave up in an interval I if all tangents to the curve on I are below the graph of f ( x ) . 2. f ( x ) is conca
what are cos and sin ?
1. Solve the given differential equation, subject to the initial conditions: . x2y''-3xy'+4y = 0 . y(1) = 5, y'(1) = 3 2. Find two linearly independent power series soluti
in 2000,nearly 18% of cars in north America were sliver. what percent of the cars sold were not sliver?
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Launching a new product (Blackberry Cube) Analysis (target market) Product features Promotions and advertisement sample design (location)
Question: Find Inverse Laplace Transform of the following (a) F(s) = (s-1)/(2s 2 +8s+13) (b) F(s)= e -4s /(s 2 +1) + (1/s 3 )
A cylindrical vessel of diameter 14 cm and height 42 cm is fixed symmetrically inside a similar vessel of diameter 16 cm and height 42 cm. The total space between two vessels is fi
two fathers and two sons went fishing . they caught only 3 fish and divided them equally among themselves without cutting. is it possible? how?
Probability Distributions Since the value of a random variable cannot be predicted accurately, by convention, probabilities are assigned to all the likely values that the varia
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