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
| 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.)
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