Poisson Distribution Practice Problems
Q1. A call center receives an average of 5 calls per minute. What is the probability that exactly 7 calls are received in a minute?
Q2. On average, a person receives 3 emails per hour. What is the probability that the person receives no emails in a given hour?
Q3. A factory produces an average of 2 defective products per day. What is the probability that exactly 3 defective products are produced in a day?
Q4. A store experiences an average of 10 customer arrivals per hour. What is the probability that exactly 15 customers arrive in an hour?
Q5. A machine has an average failure rate of 1 failure per month. What is the probability that the machine will not fail at all in a given month?
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Poisson Distribution | Definition, Formula, Table and Examples
Poisson Distribution is one of the types of discrete probability distributions like binomial distribution in probability. It expresses the probability of a given number of events occurring in a fixed interval of time.
Poisson distribution is a type of discrete probability distribution that determines the likelihood of an event occurring a specific number of times (k) within a designated time or space interval. This distribution is characterized by a single parameter, λ (lambda), representing the average number of occurrences of the event.
In this article, we will discuss the Poisson Distribution including its definition, Poisson Distribution formula, Poisson Distribution examples, and properties of Poisson Distribution in detail.
Table of Content
- What is Poisson Distribution?
- Poisson Distribution Definition
- Poisson Distribution Formula
- Poisson Distribution Table
- Poisson Distribution Characteristics
- Poisson Distribution Graph
- Poisson Distribution Mean and Variance
- Poisson Distribution Mean
- Poisson Distribution Variance
- Standard Deviation of Poisson Distribution
- Probability Mass Function of Poisson Distribution
- Difference between Binomial and Poisson Distribution
- Poisson Distribution Examples
- Poisson Distribution Practice Problems