Unformatted text preview: not continuous variable] 4. First, ball bound on each nail can be considered as a Bernoulli trial, with success probability (bound to right side) p=0.5; secondly, such Bernoulli trails are IID at every pegs; Third, to reach the bottom, a ball need 7 bounds, slot location is just the number of success jump. From these 3 aspects, we know X~Binomial(7,0.5) 5. (a) 091.97318E ) 6 ( * 2 ) 6  ( =Φ =σ μ X P (b) ppm X P 4 . 3 )) 5 . 4 ( 1 ( ) 5 . 7 ( ) 6  ( = Φ+Φ =6. c=0.1 E(X)=1.1 E(Y)= 1.3 V(X)=0.69 V(Y)= 0.81 E(XY)= 1.3 Cov(X,Y)= 0.13 ρ(X,Y)= 0.17 Weak correlation...
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 Spring '10
 Zhai
 Probability theory, Exponential distribution, Bernoulli trial, weak correlation, Bernoulli trails

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