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Poisson Distribution

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Wize University Statistics Textbook > Discrete Probability Distributions

Poisson Distribution

5 Activities

A random variable X has a poisson distribution X ∼Poisson(2)X\ \sim Poisson\left(2\right). Find the probability that XX is at least 1.
More Poisson Distribution Questions:
Poisson Distribution
The average number of homes sold by Jon Jennings, a top realtor, is 14 homes per week. Assume he works all 7 days and all days are the same.
a) What is the probability that exactly 3 homes will be sold tomorrow?
b) What is the probability that at least 3 homes will be sold tomorrow?
Poisson Model
Andy is a rude bank teller. He gets an average of 3 complaints per 8-hour shift.
a) Determine the mean and standard deviation for the number of complaints in one hour.
b) What is the probability that he will get one complaint in the first hour?
Poisson Distribution
An injury is reported in Company A once a week. In Company B, an injury is reported only once a month. All injuries are reported and the occurrences of injuries in those companies are independent. In the next three weeks, what is the probability that Company A reports fewer than 2 injuries and Company B reports no injuries?
Let 1 month = 4 weeks
Binomial Distribution vs. Poisson Distribution vs. Hypergeometric Probability
Binomial [B], Poisson [P], or Hypergeometric [H]? Enter B, P, or H in the boxes below.
Binomial and Poisson Distributions
At a dangerous intersection, 2.5% of cars drive through a red light. Suppose 100 cars drove by.
Poisson Distribution
Which of the following can be modelled with a Poisson distribution?
Poisson distribution
An old apartment building experiences an average of 2 electrical failure a week. Determine the probability that there will be no electrical failure on a given day.
Poisson Distribution
The number of customers coming to Suzanne’s coffee shop has a mean of 6 customers per hour. What is the probability that at least one customer will come to her coffee shop in an interval of 30 minutes?
Poisson Distribution
Which of the following cannot be modelled with a Poisson distribution?
Poisson Distribution
Five paper cuts are reported to the HR manager each 7-day week, on average. What is the probability that at least one paper cut will be reported today?
Poisson distribution
The Moody Volcano in Hawaii erupts four times a year. What is the probability that it will not erupt in the next month?
Statistical Properties: Practice
True or false? Enter "T" for true; "F" for false (without quotations).
Poisson Distribution
Five injuries are reported at the gym each day. What is the probability that fewer than 3 injuries occur today?