The Poisson distribution is one of the most typically used distributions in every one of statistics. This tutorial describes how to use the following functions on a TI-84 calculator to find Poisson probabilities:

poissonpdf(mean, x) returns the probability associated with the Poisson pdf.

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poissoncdf(mean, x) returns the accumulation probability connected with the Poisson cdf.

where:

mean = mean number of “successes”= specific number of “successes”

Both the these attributes can be accessed ~ above a TI-84 calculator by pressing 2nd and climate pressing vars. This will take you to a DISTR screen where you have the right to then use poissonpdf() and poissoncdf():

The following examples illustrate exactly how to usage these features to answer various questions.

Example 1: Poisson probability of specifically x successes

Question: A hardware save sells 3 hammers every day top top average. What is the probability that they will market 5 hammers ~ above a offered day?

Answer: Use the function poissonpdf(mean, x):

poissonpdf(3, 5) = 0.1008

Example 2: Poisson probability of less than x successes

Question: A hardware save sells 3 hammers per day on average. What is the probability the they will sell less than 5 hammers ~ above a given day?

Answer: Use the duty poissoncdf(mean, x-1):

poissoncdf(3, 4) = 0.8153

Example 3: Poisson probability of at most x successes

Question: A hardware keep sells 3 hammers per day top top average. What is the probability that they will offer at many 5 hammers on a given day?

Answer: Use the duty poissoncdf(mean, x):

poissoncdf(3, 5) = 0.9161

Example 4: Poisson probability of an ext than x successes

Question: A hardware save sells 3 hammers per day on average.

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What is the probability the they will sell much more than 5 hammers ~ above a offered day?

Answer: Use the duty 1 – poissoncdf(mean, x):

1 – poissoncdf(3, 5) = 0.0839

Example 5: Poisson probability that at the very least x successes

Question: A hardware save sells 3 hammers per day top top average. What is the probability the they will market at least 5 hammers ~ above a provided day?