A uniform probability distribution is a continuous probability distribution where the probability that the random variable assumes a value in any interval of equal length is _____. a. different for each interval b. the same for each interval c. either different or the same depending on the magnitude of the standard deviation d. None of the answers is correct.

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Uniform probability distribution describes a distribution which is continous and the probability that a random variable assumes a value in any interval of equal length is the same for each interval.

  • The likelihood that a randomly selected variable within intervals with equal length is equally likely in a uniform probability distribution.

  • An example is a deck of cards, hearts, spade, diamond and club are of equal length. Hence, the probability of randomly drawing a card from any of these intervals is the same (1/4).

Therefore, the true statement is the option B.

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