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# Probability Distribution

wrote...
Posts: 255
Rep:
A month ago
 Probability Distribution 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? Read 46 times 1 Reply

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Anonymous
wrote...
A month 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 successesQuoteThe 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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