Question

Define the random variable $X$.

Short answer

The $X$number of batches of muffins to create to sell in his bakery should be sufficient to sell each and every one.

Step-by-step solution

Given Information

With the following probability distribution, a baker decides how many batches of muffins to create to sell in his bakery and make enough to sell every one and no fewer.

Concept Used

The nature of the challenge is defined by a random variable, which satisfies the bakery's expectation of the amount he should create.

According to discrete distribution features $P\left(X\right)$, is said to be the probability mass function of a discrete variable $X$. Only when,

I. $P\left(X\right)\ge 0$for all $X$

ii.$\sum P\left(X\right)=1$

Conclusion:

As a result, the $X$number of batches of muffins to create to sell in his bakery should be sufficient to sell each and every one.