independent geometric random variables

rad6210

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Sep 13, 2009
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Let W[sub:2mgco81m]1[/sub:2mgco81m] and W[sub:2mgco81m]2[/sub:2mgco81m] be independent geometric random variables with parameters p[sub:2mgco81m]1[/sub:2mgco81m] and p[sub:2mgco81m]2[/sub:2mgco81m]. Find
a) P(W[sub:2mgco81m]1[/sub:2mgco81m] = W[sub:2mgco81m]2[/sub:2mgco81m])
b) P(W[sub:2mgco81m]1[/sub:2mgco81m] < W[sub:2mgco81m]2[/sub:2mgco81m])
c) P(W[sub:2mgco81m]1[/sub:2mgco81m] > W[sub:2mgco81m]2[/sub:2mgco81m])
d) the distribution of min (W[sub:2mgco81m]1[/sub:2mgco81m] , W[sub:2mgco81m]2[/sub:2mgco81m])
e) the distribution of max (W[sub:2mgco81m]1[/sub:2mgco81m], W[sub:2mgco81m]2[/sub:2mgco81m])

I'm really stuck on this problem and would reallyy appreciate any help! Thanks!
 
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