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} * 17^{0} / 0! + e^{-17} *
17^{1} / 1! + e^{-17} * 17^{2} / 2! + .. +
e^{-17} * 17^{20} / 20!)

= 1 - 0.8055

= 0.1945

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

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