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3. The number X of telephone calls received each minute at a certain switchboard in the middle of a working day is thought to have a Poisson distribution. Data were collected, and the results were as follows: 0123 Frequency 50 62 26 12 (a) Find Â, the sample average for your dataset. Round your final answer to 3 decimals. x 1 (b) Find the probability of each z value (to 3 decimals) using the Poisson Distribution. Use your probabilities to determine the expected frequencies. (c) Perform a test to determine if the data follows a Poisson distribution. What con- clusion do you reach (is it reasonable that the data follow a Poisson distribution or not)?

3. The number X of telephone calls received each minute at a certain switchboard in the middle of a working day is thought to have a Poisson distribution. Data were collected, and the results were as follows: 0123 Frequency 50 62 26 12 (a) Find Â, the sample average for your dataset. Round your final answer to 3 decimals. x 1 (b) Find the probability of each z value (to 3 decimals) using the Poisson Distribution. Use your probabilities to determine the expected frequencies. (c) Perform a test to determine if the data follows a Poisson distribution. What con- clusion do you reach (is it reasonable that the data follow a Poisson distribution or not)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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3. The number X of telephone calls received each minute at a certain switchboard in the middle of a working day is thought to have a Poisson distribution. Data were collected, and the results were as follows: 01 2 3 Frequency 50 62 26 12 (a) Find Â, the sample average for your dataset. Round your final answer to 3 decimals. x 1 (b) Find the probability of each z value (to 3 decimals) using the Poisson Distribution. Use your probabilities to determine the expected frequencies. (c) Perform a test to determine if the data follows a Poisson distribution. What con- clusion do you reach (is it reasonable that the data follow a Poisson distribution or not)?
Transcribed Image Text:3. The number X of telephone calls received each minute at a certain switchboard in the middle of a working day is thought to have a Poisson distribution. Data were collected, and the results were as follows: 01 2 3 Frequency 50 62 26 12 (a) Find Â, the sample average for your dataset. Round your final answer to 3 decimals. x 1 (b) Find the probability of each z value (to 3 decimals) using the Poisson Distribution. Use your probabilities to determine the expected frequencies. (c) Perform a test to determine if the data follows a Poisson distribution. What con- clusion do you reach (is it reasonable that the data follow a Poisson distribution or not)?
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