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Vehicles that pass through a certain checkpoint were counted every 10 second-intervals for a duration of one hour. The collected data are shown in the table below. Let X be the random variable denoting the number of vehicles that pass through the checkpoint every 10 seconds Count 0 1 2 3 Frequency 215 103 24 12 4 3 5 1 6 2 a. What is the expected value of the random variable X? b. If the random variable X follows a Poisson distribution, what is the theoretical Poisson frequency?

Vehicles that pass through a certain checkpoint were counted every 10 second-intervals for a duration of one hour. The collected data are shown in the table below. Let X be the random variable denoting the number of vehicles that pass through the checkpoint every 10 seconds Count 0 1 2 3 Frequency 215 103 24 12 4 3 5 1 6 2 a. What is the expected value of the random variable X? b. If the random variable X follows a Poisson distribution, what is the theoretical Poisson frequency?

Calculus For The Life Sciences
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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Vehicles that pass through a certain checkpoint were counted every 10 second-intervals for a duration of one hour. The collected data are shown in the table below. Let X be the random variable denoting the number of vehicles that pass through the checkpoint every 10 seconds Count 0 1 2 Frequency 215 103 24 3 12 4 3 5 1 6 2 a. What is the expected value of the random variable X? b. If the random variable X follows a Poisson distribution, what is the theoretical Poisson frequency?
Transcribed Image Text:Vehicles that pass through a certain checkpoint were counted every 10 second-intervals for a duration of one hour. The collected data are shown in the table below. Let X be the random variable denoting the number of vehicles that pass through the checkpoint every 10 seconds Count 0 1 2 Frequency 215 103 24 3 12 4 3 5 1 6 2 a. What is the expected value of the random variable X? b. If the random variable X follows a Poisson distribution, what is the theoretical Poisson frequency?
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