4.63.pdf - 4.63 a Define random variable X as the number of people go into the casino between 12:00 and 12:05 We know that they enter with rate 1 in

# 4.63.pdf - 4.63 a Define random variable X as the number of...

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Unformatted text preview: 4.63: a: Define random variable X as the number of people go into the casino between 12:00 and 12:05. We know that they enter with rate 1 in every two minutes, they also enter with rate 2.5 in the given time. So we can have that X P ois(2.5), the the probability is: P (X = 0) = e 2.5 = 0.082 b: At least 4 people enter the casino during that time: P (X 4) = 1 P (X = 0) P (X = 1) P (X = 2) P (X = 3) = 2.52 2.53 2.5 2.5 2.5 2.5 1 e 2.5e e e = 0.242 2 3! &lt;latexit sha1_base64=&quot;7LSgTH5y8KFMfqaPCG+Sne7/xpE=&quot;&gt;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&lt;/latexit&gt; ...
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• Spring '14
• Cariola

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