Joint and marginal probabilities for a sample from a deck of cards
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You have a standard deck of cards and you take out 2 cards at random. Let Y1 represent the number of red Queens in your sample and let Y2 represent the number of spades in your sample.
a) calculate p. it is mean p(Y1, Y2);
b) calculate var (Y1I Y2=1)
c) Determine E (Y2I Y1=0)
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The expert examines the joint and marginal probabilities for a sample from a deck of car.
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There are 52 cards in a deck. Within a deck, there are 13 spades and 2 red queens (Heart Queen and Club Queen). To get two cards out of 52, we have C(52, 2) = 52 * 51 / 2 = 1326 choices.
(a) In my sample, the possible outputs for Y1 and Y2 are (Y1, Y2) = (0, 0), (0, 1), (0, 2), (1, ...
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