a) The number of students who come into the tutoring center between 8 and 8:30am has a Poisson distribution with λ =5. Determine P(x ≤ 2) b) How many students can the tutoring center be 95% confident that the number of students on any given day will not exceed that number?

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
Section13.3: Special Probability Density Functions
Problem 36E
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a) The number of students who come into the tutoring center between 8 and 8:30am has a
Poisson distribution with λ =5. Determine P(x ≤ 2)
b) How many students can the tutoring center be 95% confident that the number of students on
any given day will not exceed that number?
Transcribed Image Text:a) The number of students who come into the tutoring center between 8 and 8:30am has a Poisson distribution with λ =5. Determine P(x ≤ 2) b) How many students can the tutoring center be 95% confident that the number of students on any given day will not exceed that number?
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