From the information given in the Poisson Distribution, the probability that that no more than three customers arrive that is P (X≤3) = 0.0817.
The Poisson distribution is a discrete probability distribution in probability theory and statistics that articulates the likelihood of a specific number of events happening in a fixed interval of time or space if these events occur with a particular frequency mean rate and regardless of the time since the last event.
To be correct, all events must be independent of one another, the pace of occurrences must be steady across time, and events cannot occur concurrently. Furthermore, the mean and the variance will be equal.
According to a Poisson distribution, seven people come at a checkout counter in a department store every hour on average. i.e λ=7
Probability (P) that no more than three customers arrive is notated as P(X≤3)
= P(X=0) + P(X=1) + P(X=2) + P(X=3)
= Poisson (3,7,1)
= 0.0817
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Full Question:
Customers arrive at a checkout counter in a department store according to a Poisson distribution at an average of seven per hour. During a given hour, what are the probabilities that no more than three customers arrive?
