er is particular model. The fault can, on rare occasions, cause a catastrophe at high speed. The distribution of the number of cars per year that will experience the catastrophe is a Poisson random variable with λ = 4. (a) What is the probability that at most 5 cars per year will experience a catastrophe? (b) What is the probability that more than 1 car per year will experience a catastrophe? Click here to view page 1 of the table of Poisson probability sums. Click here to view page 2 of the table of Poisson probability sums. ... (a) The probability that at most 5 cars per year will experience a catastrophe is (Round to four decimal places as needed.)

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.CR: Chapter 13 Review
Problem 61CR
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An automobile manufacturer is concerned about a fault in the braking mechanism of a
particular model. The fault can, on rare occasions, cause a catastrophe at high speed.
The distribution of the number of cars per year that will experience the catastrophe is a
Poisson
random variable with λ = 4.
(a) What is the probability that at most 5 cars per year will experience a catastrophe?
(b) What is the probability that more than 1 car per year will experience a catastrophe?
Click here to view page 1 of the table of Poisson probability sums.
Click here to view page 2 of the table of Poisson probability sums.
(a) The probability that at most 5 cars per year will experience a catastrophe is
(Round to four decimal places as needed.)
Transcribed Image Text:An automobile manufacturer is concerned about a fault in the braking mechanism of a particular model. The fault can, on rare occasions, cause a catastrophe at high speed. The distribution of the number of cars per year that will experience the catastrophe is a Poisson random variable with λ = 4. (a) What is the probability that at most 5 cars per year will experience a catastrophe? (b) What is the probability that more than 1 car per year will experience a catastrophe? Click here to view page 1 of the table of Poisson probability sums. Click here to view page 2 of the table of Poisson probability sums. (a) The probability that at most 5 cars per year will experience a catastrophe is (Round to four decimal places as needed.)
Suppose that, on average, 2 people in 1000 makes a numerical error in preparing his or
her income tax return. If 8000 returns are selected at random and examined, find the
probability that 10, 11, 12, or 13 of them contain an error.
Click here to view page 1 of the table of Poisson probability sums.
Click here to view page 2 of the table of Poisson probability sums.
The probability that 10, 11, 12, or 13 income tax returns contain an error is
(Round to four decimal places as needed.)
Transcribed Image Text:Suppose that, on average, 2 people in 1000 makes a numerical error in preparing his or her income tax return. If 8000 returns are selected at random and examined, find the probability that 10, 11, 12, or 13 of them contain an error. Click here to view page 1 of the table of Poisson probability sums. Click here to view page 2 of the table of Poisson probability sums. The probability that 10, 11, 12, or 13 income tax returns contain an error is (Round to four decimal places as needed.)
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