Suppose the number X of tornadoes observed in a particular region during a one-year period has a Poisson distribution with 2 =8. i. Compute P(X <5), ii. How many tornadoes can be expected to be observed during the 1-month period? What is the standard deviation of the number of observed tornadoes during 6 months period?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Suppose the number X of tornadoes observed in a particular region during
a one-year period has a Poisson distribution with 2 = 8.
i. Compute P(X 55),
ii. How many tornadoes can be expected to be observed during
the 1-month period? What is the standard deviation of the
number of observed tornadoes during 6 months period?
Transcribed Image Text:Suppose the number X of tornadoes observed in a particular region during a one-year period has a Poisson distribution with 2 = 8. i. Compute P(X 55), ii. How many tornadoes can be expected to be observed during the 1-month period? What is the standard deviation of the number of observed tornadoes during 6 months period?
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