Question

Consider the table below and answer the probability question. Write your answer as a percentage rounded to 1 decimal.

Answer 1

Answer:

$P(Joe) = 0.3$

$P(Joe\ \&\ North\ Side) = 0.2$

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:

$Joe = 34 + 70$

$Joe = 104$

The overall population of the system is:

$Total = 409$

So:

$P(Joe) = \frac{Joe}{Total}$

$P(Joe) = \frac{104}{409}$

$P(Joe) = 0.3$

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:

$Total = 409$

$P(Joe\ \&\ North\ Side) = \frac{Joe\ \&\ North\ Side}{Total}$

$P(Joe\ \&\ North\ Side) = \frac{70}{409}$

$P(Joe\ \&\ North\ Side) = 0.2$