Assume that X is a Poisson random variable with = 1.5. Calculate P (X1) Hint THE POISSON DISTRIBUTION For a Poisson random variable X, the probability of x successes over a given interval of time or space is O 0.3347 O 0.2510 P(X=X)= for x = 0, 1, 2, ..., where is the mean number of successes and e≈ 2.718 is the base of the natural logarithm. O 0.4422 e

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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Assume that X is a Poisson random variable with μ = 1.5.
Calculate P(X-1)
Hint*
THE POISSON DISTRIBUTION
For a Poisson random variable X, the probability of x successes over a given interval of time or space is
O 0.3347
P(X=x)=
for x = 0, 1, 2, ..., where is the mean number of successes and e≈ 2.718 is the base of the natural logarithm.
O 0.2510
O 0.4422
e²
x
Transcribed Image Text:Assume that X is a Poisson random variable with μ = 1.5. Calculate P(X-1) Hint* THE POISSON DISTRIBUTION For a Poisson random variable X, the probability of x successes over a given interval of time or space is O 0.3347 P(X=x)= for x = 0, 1, 2, ..., where is the mean number of successes and e≈ 2.718 is the base of the natural logarithm. O 0.2510 O 0.4422 e² x
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