What distribution assigns equal probability to all outcomes within a specified range?

What distribution assigns equal probability to all outcomes within a specified range?

• A. Normal Distribution
• B. Uniform Distribution
• C. Poisson Distribution
• D. Binomial Distribution

Answer: (B)

Uniform distribution is the one where every outcome in the defined range is equally likely. In the continuous case, the probability density is constant over the interval, so any sub-interval has probability proportional to its length. In the discrete case, each possible value within the range has the same chance, typically 1 divided by the number of outcomes. For example, rolling a fair six‑sided die gives equal probability to each face. This differs from other distributions where probabilities vary across outcomes: the normal distribution concentrates around the center, Poisson assigns probabilities that depend on the count parameter, and the binomial distribution depends on the number of trials and the success probability.

Uniform distribution is the one where every outcome in the defined range is equally likely. In the continuous case, the probability density is constant over the interval, so any sub-interval has probability proportional to its length. In the discrete case, each possible value within the range has the same chance, typically 1 divided by the number of outcomes. For example, rolling a fair six‑sided die gives equal probability to each face. This differs from other distributions where probabilities vary across outcomes: the normal distribution concentrates around the center, Poisson assigns probabilities that depend on the count parameter, and the binomial distribution depends on the number of trials and the success probability.