Purchase Solution

Poisson Distribution

Not what you're looking for?

Ask Custom Question

In Bombay, India air pollution standards for particulate matter are exceeded an average of 5.6 days in every 3 week period. Assume that the distribution of the number of days exceeding the standards per three week period is Poisson distributed.

What is the probability that the standard is not exceeded on any day during a three week period?

Purchase this Solution
Solution Summary

The solution contains the determination of probability using Poisson distribution.

Solution Preview

Let X denote the number of days exceeding the standards per three-week period.
Here it is given that X follows a Poisson distribution ...

Purchase this Solution
Free BrainMass Quizzes
Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

View More Free Quizzes
Related BrainMass Solutions

  • Poisson Distribution

    257661 Poisson Distribution Let X have a Poisson distribution with a mean of 4. Find a) P(23) c) P(X<3) Let X have a Poisson distribution with a variance of 4.

  • Poisson distribution probabilities and recursion relationship

    279724 Poisson distribution probabilities and recursion relationship The Poisson distribution is given by the following P(x,λ)=e ^ -λ * λ^x! x=0,1,2,3.....j.....

  • Number of Incoming Phone Calls at a Company Switchboard

    191875 Incoming Call Poisson Distribution The number of incoming phone calls at a company switchboard during 1-minute intervals is believed to have a Poisson distribution.

  • Variance of Poisson random variable

    Poisson Distribution The number of false alarms a building fire alarm system registers has a Poisson distribution with a mean of 6 false alarms per year. The variance of the number of false alarms is what?

  • Normal distribution, exponential & Poisson distributions

    The probability distribution of a Poisson random variable is called a Poisson distribution. The Poisson distribution has the property that the mean of the distribution is meu and the variance is also equal to meu.

  • Four Poisson Distribution Problems

    Then X follows Poisson distribution with parameter = 8.14 Thus the number of sales in a half day follows Poisson distribution with parameter 8.14. The solution discusses four Poisson distribution problems.

  • Variance and Poisson Distributions

    ,Xn be a random sample from a Poisson distribution with mean Ө. Express the VarӨ (Xi) as a function σ2 = g(Ө). Solution. Let X be a random variable that follows a Poisson distribution with mean Ө. Then E(X)=Var(X)= Ө.

  • Probability Distribution and Poisson Distribution

    Then we know that the probability distribution of breakdowns X is a Poisson distribution with mean a=3/30=0.1.

  • Stochastic Process, Random Variables, Discrete Random Variables, and Probability Distributions

    (a) What are the parameters of a Poisson distribution? (b) What is the mean of a Poisson distribution? The standard deviation? (c) Is a Poisson ever symmetric? (d) Suggest a data-generating situation that might be Poisson. 9.

  • Poisson distribution probability

    30164 Determining Probability using the Poisson Distribution Formula Assume that the number of Telephone calls arriving in an office during a 15 minute period has a Poisson distribution with mean number of calls equal 5.

View More Related Solutions