Example 3.21 from Statistics, 3.4 Contingency Tables

(part 3)

c. Find the probability that a person is male given that the person prefers hiking near lakes and streams. Let M = being male, and let L = prefers hiking near lakes and streams.

What word tells you this is a conditional?
Is the sample space for this problem all 100 hikers? If not, what is it?
Fill in the blanks and calculate the probability: P(_____|_____) = _____.

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

1
Solution
c.
1. The word given tells you that this is a conditional.
2. No, the sample space for this problem is the 41 hikers who prefer lakes and streams.
3. Find the conditional probability P(M|L). Because it is given that the person prefers hiking near lakes and streams, you need only consider the values in the column labeled "Near Lakes and Streams." P(M|L) = $\frac{25}{41}$

How did it go?

Solution

Solution