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Concept explainers
a.
To show that the probability distribution is valid
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 11PPS
The distribution of the probability is valid.
Explanation of Solution
Given information:
The probability distribution of malls is 0.35
The probability distribution of individual stores is 0.32
The probability distribution of online stores is 0.17
The probability distribution of catalogs is 0.11
The probability distribution of others is 0.05
For probability distribution to be valid,
- The probability of each value must be equal to or greater than zero or less than equal to 1
- The addition of probabilities of value must be equal to 1
Here, every value is greater than zero and less than 1 and addition of values
Therefore, the distribution of the probability is valid.
b.
To calculate:
The probability distribution that a shopper randomly chosen will shop online or in a catalog
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 11PPS
The probabilityfor a randomly chosen shopper shop online or in catalog is
Explanation of Solution
Given information:
The probability distribution of malls is 0.35
The probability distribution of individual stores is 0.32
The probability distribution of online stores is 0.17
The probability distribution of catalogs is 0.11
The probability distribution of others is 0.05
Calculation:
Probability for a randomly chosen student shopper will shop online or in catalog can calculated when its sum is divided by total probability distribution
Therefore, the probability for a randomly chosen shopper shop online or in catalog is
c.
To graph:
The probability distribution of shopping places
c.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given information:
The probability distribution of malls is 0.35
The probability distribution of individual stores is 0.32
The probability distribution of online stores is 0.17
The probability distribution of catalogs is 0.11
The probability distribution of others is 0.05
Graph:
Interpretation:
The graph for the probability distribution for shopping places can obtained by using the data from the probability distribution table. The given data is plotted in the bar graph
Chapter 12 Solutions
Algebra 1
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