In the fiscal year that ended September 30, 2008, there were 24, 584 age-discrim

Question

In the fiscal year that ended September 30, 2008, there were 24, 584 age-discrimination claims filed with the Equal Employment Opportunity Commission, an increase of 29% from the previous year (The Wall Street Journal, March 7-8, 2009). Assume there were 260 working days in the fiscal year for which a worker could file a claim. a. Calculate the average number of claims filed on a working day. b. What is the probability that exactly 100 claims were filed on a working day? (The excel command is POISSON DIST. c. What is the probability that no more than 100 claims were filed on a working day?

Explanation / Answer

a. Average number of claims filled on a working day. = Total claims filed/ number of working days = 24584/ 260 = 94.55

b. P (X = 100; = 94.55) = 0.034167

c. P ( X<=100; = 94.55) = again by possion distribution = 0.7332

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