2. A sports analyst decides to model baskets scored in a WNBA game as a Poisson process with rate 4.2 per minute. (a) What distribution would you use to model the amount of time until the first score in a WNBA game? Define any parameters you use. (b) Compute the likelihood that the first score occurs between 30-45 seconds. You may leave your answer in terms of exponentials. (c) Suppose the analyst wants to use a x² test for goodness of fit to evaluate whether this distribution is a good model. They record the following data from 30 games: Time of First Score 0-15s 15-30s 30-45s 45-60s 60s+ Count 5 11 4 4 6 Using your answer from (b) what is the expected count for the 30-45s bin? (d) How many degrees of freedom are there for the test statistic in this test?

2. A sports analyst decides to model baskets scored in a WNBA game as a Poisson process with rate 4.2 per minute. (a) What distribution would you use to model the amount of time until the first score in a WNBA game? Define any parameters you use. (b) Compute the likelihood that the first score occurs between 30-45 seconds. You may leave your answer in terms of exponentials. (c) Suppose the analyst wants to use a x² test for goodness of fit to evaluate whether this distribution is a good model. They record the following data from 30 games: Time of First Score 0-15s 15-30s 30-45s 45-60s 60s+ Count 5 11 4 4 6 Using your answer from (b) what is the expected count for the 30-45s bin? (d) How many degrees of freedom are there for the test statistic in this test?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 2CYU

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