1. On average, 5.4 shoplifting incidents occur per week at an electronics store. Find the probability that exactly 3 such incidents will occur during a given week at this store. 2. On average, 12.5...

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1. On average, 5.4 shoplifting incidents occur per week at an electronics store. Find the probability that exactly 3 such incidents will occur during a given week at this store.

2. On average, 12.5 rooms stay vacant per day at a large hotel in a city. Find the probability that on a given day exactly 3 rooms will be vacant. Use the Poisson formula.

Answered Same DayDec 25, 2021

Answer To: 1. On average, 5.4 shoplifting incidents occur per week at an electronics store. Find the...

David answered on Dec 25 2021

132 Votes

(Question 1)
Let X be the number of shopliftings in 1 week
X follows Poisson distribution with parameter (rate) λ = 5.4
X ∼ Poisson (λ = 5.4)
P (X = 3),λ = 5.4
P (X = 3) = e
−λλk
k! =
e−5.4(5.4)3
3! =
(0.004 517) × (157.464)
6 = 0.118 533
Use excel function POISSON.DIST( X, mean,...

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1. On average, 5.4 shoplifting incidents occur per week at an electronics store. Find the probability that exactly 3 such incidents will occur during a given week at this store. 2. On average, 12.5...

Answer To: 1. On average, 5.4 shoplifting incidents occur per week at an electronics store. Find the...

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