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Which type of distribution is described by a bell curve?

Normal distribution

The type of distribution described by a bell curve is the normal distribution. This distribution is characterized by its symmetrical shape, where the mean, median, and mode are all equal and located at the center of the curve. The bell curve illustrates how data points are distributed around the mean, with the majority of observations falling close to the mean and fewer observations occurring as you move away from it, creating the characteristic peaks.

In statistical modeling and risk assessment, the normal distribution is essential because many natural phenomena tend to be distributed normally or approximately normally. This distribution's properties also facilitate various statistical analyses, making it foundational in inferential statistics.

In contrast, other distributions, such as the uniform distribution, display constant probability across their range and do not possess the peak central tendency represented by a bell curve. The exponential distribution describes the time between events in a Poisson process and has a distinct skew rather than the symmetry of the normal distribution. The binomial distribution is discrete, representing the number of successes in a fixed number of independent Bernoulli trials and does not yield a bell-shaped curve unless certain conditions are met (such as a large number of trials with equal probabilities).

Thus, the normal distribution is the clear representative of the bell curve due to its unique properties and

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Uniform distribution

Exponential distribution

Binomial distribution

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