On average, a furniture store sells four card tables in a week. Assuming a Poisson distribution for the weekly sales, the probab

Question

3 years ago

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On average, a furniture store sells four card tables in a week. Assuming a Poisson distribution for the weekly sales, the probab

ility that the store will sell exactly seven card tables in a given week is most nearly Select one: a. 0.11 b. 0.075 c. 0.15 d. 0.060

Mathematics

1 answer:

vivado [14] · Answer 1 · 2022-01-05T11:32:52+03:00

Answer:

Assuming a Poisson distribution for the weekly sales, the probability that the store will sell exactly seven card tables in a given week is 0.060

Step-by-step explanation:

In order to calculate the probability that the store will sell exactly seven card tables in a given week we would have to calculate the following formula:

probability that the store will sell exactly seven card tables in a given week= e∧-λ*λ∧x/x!

According to the given data furniture store sells four card tables in a week, hence λ=4

Therefore, probability that the store will sell exactly seven card tables in a given week=e∧-4*4∧7/7!

probability that the store will sell exactly seven card tables in a given week=0.060

Assuming a Poisson distribution for the weekly sales, the probability that the store will sell exactly seven card tables in a given week is 0.060