The average number of hours worked is not a binomial variable as there is no success or failure in the scenario.
In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p.
A variable with two possible forms is said to have a binomial distribution. It could result in success or failure, heads or tail, and yes or no. If a coin is tossed, for instance, it could land on its head or its tail. It is a binomial variable as a result.
Here, there may be more than two values for the typical hours worked. It is not a binomial variable as a result.
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