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 Ybe 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
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 Ybe 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
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 Ybe 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
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 P(X <1). (Round the final answer to two decimal places.)
Find the probability that the standard for ozone is exceeded at least once. (Round the final answer to two decimal places.) Find the probability that the standard for particulate matter is never exceeded. (Round the final answer to two decimal places.) Find the probability that neither standard is ever exceeded. (Round the final answer to two decimal places.)
Transcribed Image Text: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 Ybe
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
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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