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In Colorado Springs the newspaper runs mug shots of wanted criminals. The 17% of those published are arrested through information provided to the...

In Colorado Springs the newspaper runs mug shots of wanted criminals. The 17% of those published are arrested through information provided to the police. If 200 are published, find the probability that less than 30 are arrested.
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Probability of getting arrested = 0.17
Probability of not getting arrested = 1 - 0.17 = 0.83
P(X<30) = P(X=1) + P(X=2) + P(X=3)….+P(X=30)
= 0.258845

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