Question

What is the probability the baker will sell exactly one batch? $P(x=1)$ = _______

Short answer

The probability that the baker will sell exactly one batch is:

$P(x=1)=0.15$

Step-by-step solution

Given Information

With the following probability distribution, a baker is considering how many batches of muffins to create to sell in his bakery with the following probability distribution, the probability that the baker will sell precisely one batch$P(x=1)$

Concept Used

$P\left(X\right)$ is stated to be the probability mass function of a discrete variable$X$ only when, according to the assumptions of discrete distribution.

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

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

As a result, the probability that the baker will sell exactly one batch

$P(x=1)$ is calculated as follows:

$P(x=1)=P(x=1)$

Calculation

The probability that the baker will sell exactly one batch $P(x=1)$ is calculated using the probability distribution probability:

$$\begin{gathered} P(x=1)=P(x=1) \\ =0.15 \end{gathered}$$

Conclusion: 

As a result, the probability that the baker will sell exactly one batch is

$P(x=1)=0.15$