The following table shows a random sample of 100 hikers and the areas of hiking preferred:

Hiking Area Preference

Female - 18 The Coastline - 16 Near lakes and streams ? On Mountain Peaks - Total 45

Male - ? The coastline - ? Near lakes and streams - 14 on Mountain Peaks - Total 55

Total - ? The Coastline - 41 Near lakes and streams - ? on Mountain Peaks - Total ?

Problem 1:

Complete the table.

Problem 2:

Are the events "being female" and "preferring the coastline" independent events?

Let F = female and C = preferring the coastline.

A. P(F AND C) =

B. P(F) * P(C) =

Are these two numbers the same? If they are, then F and C are independent. If they are not, then F and C are not independent.

Problem 3:

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.

a. What word tells you this is a conditional?

b. Fill in the blanks and calculate the probability: P(___|___) = ___.

c. Is the sample space for this problem all 100 hikers? If not, what is it?

Problem 4:

Find the probability that a person is female or prefers hiking on mountain peaks. Let F = being female and let P = prefers mountain peaks.

a. P(F) =

b. P(P) =

c. P(F AND P) =

d. Therefore, P(F OR P) =