Determine the mean visits per day such that the probability of more than five visits in a day is 0.1.

 

The article “An Association Between Fine Particles and Asthma Emergency Department Visits for Children in Seattle” [Environmental Health Perspectives June 1999, Vol. 107(6)] used Poisson models for the number of asthma emergency department (ED) visits per day. For the zip codes studied, the mean ED visits were 1.8 per day. Determine the following:
a. Probability of more than five visits in a day.
b. Probability of fewer than five visits in a week.
c. Number of days such that the probability of at least one visit is 0.99.
d. Instead of a mean of 1.8 per day, determine the mean visits per day such that the probability of more than five visits in a day is 0.1.

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