In 1910, E. Rutherford and H. Geiger described in a scientific publication, the results of experiments with polonium. The experiments indicated that the number of α (alpha) particles that reach a small screen during an 8-minute interval has a Poisson distribution with parameter λ = 3.87. Determine the probability that, during an 8-minute interval, the number, Y, of α particles that reach the screen is   a). at most one.    Answer:     b). P(3 < Y <6).     Answer:

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
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In 1910, E. Rutherford and H. Geiger described in a scientific publication, the results of experiments with polonium. The experiments indicated that the number of α (alpha) particles that reach a small screen during an 8-minute interval has a Poisson distribution with parameter λ = 3.87.

Determine the probability that, during an 8-minute interval, the number, Y, of α particles that reach the screen is

 

a). at most one.    Answer:

 

 

b). P(3 < Y <6).     Answer:

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