Question

A gourmet grocery store sells an average of 17 jars of pickled sardines per month. What is the probability that for any given month 21 or more jars, ≥ 21 , will be sold? What is the discrete probability distribution used for this problem?

Answer 1

This is a poisson distribution

µ = 17 per month

P(X = x) = e^-µ * µ^x / x!

P(X > 21) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 20))

                = 1 - (e^-17 * 17⁰ / 0! + e^-17 * 17¹ / 1! + e^-17 * 17² / 2! + .. + e^-17 * 17²⁰ / 20!)

                = 1 - 0.8055

                = 0.1945

The discrete probability distribution used for this problem i s poisson distribution