In a certain community, levels of air pollution may exceed federal standards for ozone or for particulate matter on some days. For a particular summer season, let X be the number of days on which the ozone standard is exceeded and let Y be the number of days on which the particulate matter standard is exceeded. Assume that the joint probability mass function of X and Y is given in the following table: y x 0 1 2 0 0.10 0.11 0.05 1 0.17 0.23 0.08 2 0.06 0.14 0.06 Find Cov(X, Y). (Round the final answer to four decimal places.) Find ρX,Y. (Round the final answer to four decimal places.)

In a certain community, levels of air pollution may exceed federal standards for ozone or for particulate matter on some days. For a particular summer season, let X be the number of days on which the ozone standard is exceeded and let Y be the number of days on which the particulate matter standard is exceeded. Assume that the joint probability mass function of X and Y is given in the following table: y x 0 1 2 0 0.10 0.11 0.05 1 0.17 0.23 0.08 2 0.06 0.14 0.06 Find Cov(X, Y). (Round the final answer to four decimal places.) Find ρX,Y. (Round the final answer to four decimal places.)

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 9CR

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Question

100%

	y
x	0	1	2
0	0.10	0.11	0.05
1	0.17	0.23	0.08
2	0.06	0.14	0.06

Find Cov(X, Y). (Round the final answer to four decimal places.)

Find ρ_X,Y. (Round the final answer to four decimal places.)

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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