Question

What is the probability the baker will sell more than one batch? $P(x>1)=\_\_\_\_\_\_\_$

Short answer

The probability the baker will sell more than one batch of cookies is:

$P(x>1)=0.85.$

Step-by-step solution

Given Information

When a baker is deciding how many batches of muffins to create to sell in his bakery, the probability that the baker $P(x>1)$will sell more than one batch is calculated using the probability distribution below.

Concept Used

According to discrete distribution propertiesP(X), is defined as the probability mass function of a discrete variable X

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 more than one batch $P(x>1)$is calculated as :

$P(x>1)=P(x=2)+P(x=3)+P(x=4)$

Calculation

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

$$\begin{gathered} P(x>1)=P(x=2)+P(x=3)+P(x=4) \\ =0.35+0.40+0.10 \\ =0.85 \end{gathered}$$

Conclusion:

As a result, the probability of good chance the baker will sell more than one batch is $P(x>1)=0.85.$