The time it takes to manufacture a product is modeled by a continuous distribution. The time to manufacture one unit can take anywhere from 5 to 6 minutes with equal probability. What distribution can be used to model the random variable, production time

The distribution of the time it takes to manufacture the products can be explained by the continuous Uniform distribution.

Step-by-step explanation:

An Uniform distribution is the probability distribution of outcomes that are equally likely, i.e. all the outcomes has the same probability of occurrence.

Uniform distribution are discrete and continuous.

A discrete uniform distribution describes the  probability distribution of discrete random variable that assumes discrete values. For example, roll of a die.

A continuous uniform distribution describes probability distribution of continuous random variable that assumes values in a specified interval. For example, time it takes to reach school from home.

In this case let the random variable X be defined as the time it takes to manufacture a product.

To manufacture 1 unit the time taken is between 5 to 6 minutes.

Every value in the interval  5 - 6 has equal probability.

The distribution of the time it takes to manufacture the products can be explained by the continuous Uniform distribution.

The probability density function of a continuous Uniform distribution is:

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step-by-step explanation: