Question
A customs agent discovers 22 identically looking packets of white power in a traveler's suitcase. Unknown to the customs officer, 17 of these packets contain
A customs agent discovers 22 identically looking packets of white power in a traveler's suitcase. Unknown to the customs officer, 17 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 decimals in each of your entries.
X 0 1 2 3 4
P(X=x)
(b) From the distribution you found in part (a), what can you say about the distribution of X?
The distribution of X is .
(c) How many of the 4 packets do you expect be to test positive for cocaine? Provide the standard deviation as well.
E(X)=
SD(X)=
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