# Probability, leave your answer as 13. Consider the following contingency table. Answer each question. For un-simplified...

###### Question:

probability, leave your answer as 13. Consider the following contingency table. Answer each question. For un-simplified fraction and decimal GenderThe Female Male Total Near Lakes and Streams On Mountain Peaks Total Coastline 18 16 16 45 25 04 41 25 100 (a) Are the events "being female" and "preferring the coastline" independent events? Show your mathematical reasoning (b) Are the events "being female" and "preferring the coastline" mutually exclusive events? Show your mathematical reasoning. (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. (6) What word tells you this is a conditional? (ii) Fill in the blanks and calculate the probability: P- (d) When two different individuals are selected, what is the probability that they both prefer the coastline? (e) Let F-being female, and let P = prefers mountain peaks 6) Find P(F). (ii) Find P(P) (ii)Find P(F AND P). (iv) Find P(F OR P).

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