In Module 4 Part 4, you created a contingency table based on the hiking preferences of surveyed individuals. (See page 62 of the updated notes for Module 4.) Suppose this survey group was expanded to include 12 more hikers. The additional data is as follows: 9 additionally surveyed female hikers prefer hiking near streams 3 additionally surveyed male hikers prefer hiking in the mountains Update the table from your notes with the information given above. Then answer the questions. Hiking Location Preference Mountains Woods Streams Female 13 21 25 59 Male 20 18 25 63 33 39 50 122 Find the requested probabilities. Round all probabilities to four decimal places. What is the probability that a randomly selected hiker is male? P(Male) = What is the probability that a randomly selected hiker prefers hiking in the mountains? P(Prefers Mountains) = What is the probability that a randomly selected hiker is male or prefers hiking in the mountains? P(Male or Prefers Mountains) = Suppose you select a female hiker at random. What is the probability that she prefers hiking near streams? P(Prefers streams | Female) =
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Complete the table below that shows a random sample of 100 hikers and the areas of hiking preferred: Hiking Area Preference Sex The Coastline Near Lakes and Streams On Mountain Peaks Total Female 18 16 ___ 45 Male ___ ___ 14 55 Total ___ 41 ___ ___ a) Find the probability that a person is female and prefers hiking on mountain peaks. P(female and on mountain peaks) = b) Find the probability that a person is male given that the person prefers hiking near lakes and streams. P(male | near lakes & streams) = c) Find the probability that a person is male or prefers hiking on the coastline. P(male or on the coastline) = d) Find the probability that the person prefers hiking on the coastline given that the person is a female. P(the coastline | female) =
Madhur L.
Aparna S.
The following table shows a random sample of 100 hikers' preferred areas of hiking: Hiking Area Preference Near Lakes and Streams On Mountain Peaks Total Sex Female 18 55 73 Male 82 100 182 Total 100 155 255 Find the probability that a randomly selected hiker from the group: a) is male and prefers hiking by the coastline. b) is male and hiking on mountain peaks. c) prefers hiking near lakes and streams. d) is female, given that they prefer hiking near lakes and streams. e) is female or prefers hiking on mountain peaks.
David N.
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