Discussion:
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?