Answer:
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Explanation:
Consider the table below and answer the probability question. Write your answer as a percentage rounded to 1 decimal.
Kroger Wal-Mart Trader Joe's Total
South side 50 102 34 186
North side 61 92 70 223
Total 111 194 104 409
What is the probability that someone shops at Trader Joe's?
Consider the table below and answer the probability question. Write your answer as a percentage rounded to 1 decimal.
Kroger Wal-Mart Trader Joe's Total
South side 50 102 34 186
North side 61 92 70 223
Total 111 194 104 409
What is the probability that someone shops at Trader Joe's and lives on the North side?
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Answer:
[tex]P(Joe) = 0.3[/tex]
[tex]P(Joe\ \&\ North\ Side) = 0.2[/tex]
Explanation:
Solving (a): P(Joe)
To get this probability, we simply add up the items in the column named Joe.
These items are:
Joe: 34 and 70
And the total is:
[tex]Joe = 34 + 70[/tex]
[tex]Joe = 104[/tex]
The overall population of the system is:
[tex]Total = 409[/tex]
So:
[tex]P(Joe) = \frac{Joe}{Total}[/tex]
[tex]P(Joe) = \frac{104}{409}[/tex]
[tex]P(Joe) = 0.3[/tex]
Solving (a): P(Joe and North Side)
To get this probability, we simply get the intersecting element of Joe column and North Side row.
From the table, the intersecting element is:
Joe and North Side: 70
The overall population of the system is:
[tex]Total = 409[/tex]
[tex]P(Joe\ \&\ North\ Side) = \frac{Joe\ \&\ North\ Side}{Total}[/tex]
[tex]P(Joe\ \&\ North\ Side) = \frac{70}{409}[/tex]
[tex]P(Joe\ \&\ North\ Side) = 0.2[/tex]
