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 limber 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
a) Find the probability of success, given that a climber is at least 60 years old
Probability
b) Is success in climbing Everest independent of age?
Yes
No

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