Statistics 3302

Question

Anne gets an average of 19 text messages during her 8 hour work day. What is the probability that Anne will get more than 6 text messages in a 3 hour portion of her work day?

Answer 1

I would assume a Poisson Process. The rate is 19/8 hours, which will be 19/8 * 3 = 57/8 per 3 hours.

Then, P(N > 6) = 1 - P(N <= 6). Using Excel, 1 - POISSON.DIST(6,57/8,1) = 1 - =

0.568743