2.48 |
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t = |
1 |
week |
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Time Period: |
Peak |
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Arrival Rate: |
37 |
accidents/year |
accidents/year |
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Arrival Rate (u): |
0.71 |
accidents/week |
accidents/week |
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P(No vehicles while backing out) = P(H >= 9) |
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P(n)=e-ut(ut)n/n! |
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P(at least 1) = P(n
> 0) = 1 - P(n <=0) = 1 - P(0) = 1 - [e-(0.71acc/week)(1
week)][(0.71 acc/week)(1 week)]0/0! |
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P(at least 1) = 1 - 0.492 = 0.508 |
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What is the probability of at least 2 accidents next
week? |
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P(at least 2) =
P(n > 1) = 1 - P(n <=1) = 1 - {P(0) + P(1)} = 1 - {0.492 + [e-(0.71acc/week)(1 week)][(0.71
acc/week)(1 week)]1/1!} |
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P(at least 2) = 1 - 0.492 - 0.349 = 0.159 |
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What is the probability of exactly 4 accidents next
week? |
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P(4) = P(n = 4) =
[e-(0.71acc/week)(1 week)][(0.71 acc/week)(1 week)]4/4! |
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P(4)
=[(0.492)(0.254)]4/(1*2*3*4)
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P(4) = 0.005 |
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