# Question

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 six 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? If this outcome actually occurred, what might you conclude?

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 six 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? If this outcome actually occurred, what might you conclude?

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