According to the United National Environmental Program and World Health Organization, in Mumbai, India, air pollution standards for particulate matter are exceeded an average of 5.6 days in every three- week period. Assume that the distribution of number of days exceeding the standards per three-week period is Poisson distributed. a. What is the probability that the standard is not exceeded on any day during a three-week period? b. What is the probability that the standard is exceeded exactly 6 days of a three-week period? c. What is the probability that the standard is exceeded 15 or more days during a three-week period? Round your answer to 4 decimal places.

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According to the United National Environmental Program and World Health Organization, in Mumbai,
India, air pollution standards for particulate matter are exceeded an average of 5.6 days in every three-
week period. Assume that the distribution of number of days exceeding the standards per three-week
period is Poisson distributed.
a. What is the probability that the standard is not exceeded on any day during a three-week period?
b. What is the probability that the standard is exceeded exactly 6 days of a three-week period?
c. What is the probability that the standard is exceeded 15 or more days during a three-week period?
Round your answer to 4 decimal places.
Transcribed Image Text:According to the United National Environmental Program and World Health Organization, in Mumbai, India, air pollution standards for particulate matter are exceeded an average of 5.6 days in every three- week period. Assume that the distribution of number of days exceeding the standards per three-week period is Poisson distributed. a. What is the probability that the standard is not exceeded on any day during a three-week period? b. What is the probability that the standard is exceeded exactly 6 days of a three-week period? c. What is the probability that the standard is exceeded 15 or more days during a three-week period? Round your answer to 4 decimal places.
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