Statistics: Uniform and Poisson Distributions
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Questions and Answers

What is the correct expression for the uniform density function if the arrival range is between 120 and 140 minutes?

  • $f(x)=1/200$ when $120 \le x \le 140$
  • $f(x)=1/120$ when $120 \le x \le 140$
  • $f(x)=1/20$ when $120 \le x \le 140$ (correct)
  • $f(x)=1/140$ when $120 \le x \le 140$

    • Under which condition is it appropriate to use the Poisson distribution?

  • The events are occurring at a constant rate.
  • The probability of multiple events occurring at the same instant is significant.
  • The average of the random variables can be accurately predicted.
  • The probability that two events coincide is zero. (correct)

    • Which formula is correct for calculating the mean in an exponential distribution?

  • $1/(h+a)$
  • $1/(h-a)$ (correct)
  • $1/(h)$
  • $1/(h+a^2)$

    • If the range for a uniform distribution is from 120 to 140 minutes, what is the value of the density function?

    <p>$1/20$ (D)</p> Signup and view all the answers

    Which statement accurately describes a property of the Poisson distribution?

    <p>The number of occurrences is not fixed over a time interval. (A)</p> Signup and view all the answers

    Flashcards

    Uniform Density Function

    A function where probabilities are equally likely within a specific range.

    Poisson Distribution Conditions

    Situations where events occur independently over time or space.

    Mean of Exponential Distribution

    The average outcome in an exponential distribution, calculated as 1/(h-a).

    Conditions for Poisson Distribution

    Requires the average rate to be constant and events are independent.

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    Continuous Uniform Distribution

    A type of distribution where all outcomes are equally likely in a defined interval.

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