Construct a probability distribution, and (b) graph the...

Construct a probability distribution, and (b) graph the probability distribution using a histogram and describe its shape.
The number of overtime hours worked in one week per employee
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Key Concepts

Probability Distribution

A probability distribution describes how the probabilities are distributed over the values of a random variable. It lists each outcome and assigns a probability that sums to one, providing a complete picture of the likelihood of each event occurring.

Discrete Random Variable

A discrete random variable is one that takes on a countable number of distinct values. In a probability distribution for a discrete random variable, each value is associated with a probability, making it possible to calculate the likelihood of observing any particular outcome.

Histogram

A histogram is a graphical representation of the distribution of data. It uses bars to show the frequency or probability of outcomes occurring within specified intervals, making it useful for visualizing the shape and central tendency of a probability distribution.

Distribution Shape

The shape of a distribution refers to its overall form, including characteristics like symmetry, skewness, and modality. Describing the distribution shape involves noting whether the data are evenly spread, concentrated towards one end (skewed), or if there are multiple peaks, which helps in understanding the underlying pattern of the data.

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