A study by the National Park Service revealed that 50% of vacationers going to the Rocky Mountain region visit Yellowstone Park, 40% visit the Tetons, and 35% visit both. a. What is the probability a vacationer will visit at least one of these attractions b. What is the probability 35 called? c. Are the events mutually exclusive? Explain.

Question

Mathematics

Layne Hendricks

29 January, 12:04

A study by the National Park Service revealed that 50% of vacationers going to the Rocky Mountain region visit Yellowstone Park, 40% visit the Tetons, and 35% visit both. a. What is the probability a vacationer will visit at least one of these attractions b. What is the probability 35 called? c. Are the events mutually exclusive? Explain.

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Answers (1)

Know the Answer?

Jared Aguilar · Answer 1

a) 0.55

b) P (intersection)

c) No

Step-by-step explanation:

P (M or P) = 0.5 + 0.4 - 0.35 = 0.55

Mutually exclusive events have nothing in common, intersection is empty. P (intersection) = 0

These are not mutually exclusive

Because P (intersection) = 0.35