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A customs agent discovers 22 identically looking packets of white power in a traveler's suitcase. Unknown to the customs officer, 18 of these packets contain

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A customs agent discovers 22 identically looking packets of white power in a traveler's suitcase. Unknown to the customs officer, 18 of these packets contain cocaine, the rest do not contain cocaine. The customs officer is to randomly pick 4 packets and test each one. A random variable X is to count the number of tested packets that test positive for cocaine. (a) Finish the probability distribution of X below. Use four deci- mals in each of your entries. X 0 4 P(X = X)

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