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Q.8

Expert-verified
Found in: Page 282

### Introductory Statistics

Book edition OER 2018
Author(s) Barbara Illowsky, Susan Dean
Pages 902 pages
ISBN 9781938168208

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

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

$P\left(x=1\right)=0.15$

See the step by step solution

## Step 1: 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$P\left(x=1\right)$

## Step 2: 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

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

$P\left(x=1\right)=P\left(x=1\right)$

## Step 3: Calculation

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

$P\left(x=1\right)=P\left(x=1\right)\phantom{\rule{0ex}{0ex}}=0.15$

## Step 3: Conclusion:

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

$P\left(x=1\right)=0.15$