Suppose the number X of tornadoes observed in a particular region during a 1-year period has a Poisson distribution with 2 = 8. (a) Compute P(X < 5). 0.1912 (b) Compute P(6

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Suppose the number X of tornadoes observed in a particular region during a 1-year period has a Poisson distribution with 2 = 8.
(a) Compute P(X < 5).
0.1912
(b) Compute P(6<x< 9).
0.5254
(c) Compute P(10 < X).
0.283
(d) What is the probability that the observed number of tornadoes exceeds the expected number by more than 1 standard deviation?
Transcribed Image Text:Suppose the number X of tornadoes observed in a particular region during a 1-year period has a Poisson distribution with 2 = 8. (a) Compute P(X < 5). 0.1912 (b) Compute P(6<x< 9). 0.5254 (c) Compute P(10 < X). 0.283 (d) What is the probability that the observed number of tornadoes exceeds the expected number by more than 1 standard deviation?
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