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Home Q & A Board Science-Related Homework Help Mathematics Statistics and Probability
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RioNii RioNii
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Posts: 266
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10 months ago
Instructions:
a) Identify the type of probability distribution shown in the problem: binomial, hypergeometric, poisson etc.
b) Identify the given in the problem.
c) Solve for the probability.

2) The average number of relief goods your household receives during a pandemic is 3 per month. What is the probability that exactly 4 relief goods will be received by your household next month?
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Anonymous
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#1
10 months ago
For this, you must use Poisson's model.

\(f\left(x\right)=\frac{e^{-\mu }\mu ^x}{x!};\ \ \ x=0,1,2,\ ...\)

x = number of success per unit time or space
\(\mu\) = mean number of successes

Quote
The average number of relief goods your household receives during a pandemic is 3 per month. What is the probability that exactly 4 relief goods will be received by your household next month?

\(\mu = 3\)

x = 4

\(f\left(4\right)=\frac{e^{-3}3^4}{4!}=0.168\ \Rightarrow \ 16.8\%\)
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