A particular blog receives a visitor every 24 minutes.
What will be an ideal response?
a. Use the binomial or Poisson distribution to estimate the expected number of hits
per day.
For 1 hit per 24 minutes, p = 1/24 = .042; for 24 hours, n = 60 * 24 = 1440
Expected mean: np = 1440 * .042 = 60
b. Compare the probability givens by a binomial and a Poisson distribution that the
blog receives 2 visitors in a 17 minute period.
Binomial: P(X) = (n choose x) p^x (1-p)^ n - x = (17 choose 2) (.042)^2 (.958)^15 =
136 * .002 * .525 = .143
Poisson: ? = np = 17 * .042 =.714 P(X) = e^-? * ?^x / x! = e ^ - .714 * .714 ^
2 / 2! = .125
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