Over 1,000 people try to climb Mt. Everest every year. Of those who try to climb Everest, 31 percent succeed. The probability that a climber is at least 60 years old is 0.04. The probability that a climber is at least 60 years old and succeeds in climbing Everest is 0.005.

Question

Mathematics

Jessie

10 November, 06:42

Over 1,000 people try to climb Mt. Everest every year. Of those who try to climb Everest, 31 percent succeed. The probability that a climber is at least 60 years old is 0.04. The probability that a climber is at least 60 years old and succeeds in climbing Everest is 0.005.

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Answers (1)

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Shiloh · Answer 1

A. P (success/age≥60) = 12.5%

B. Yes, the success is independent of age.

Step-by-step explanation:

Probability of success, given that a climber is at least 60 years old is calculated using conditional probability rule

P (A|B) = P (A n B) / P (B)

Probability of success given that a climber is at least 60 years old is given by

P (success|age≥60) = P (success n age ≥ 60) / P (age ≥ 60) = 0.005/0.04

= 0.125

P (success|age≥60) = 12.5%

B. The success is independent on age