Question

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. (a) find the probability of success, given that a climber is at least 60 years old. (round your answer to 3 decimal places.)

Answer 1

The probability of success, given that a climber is at least 60 years old, is 0.125. To find the probability of success, given that a climber is at least 60 years old, we can use conditional probability.

Step-by-step explanation:

To find the probability of success, given that a climber is at least 60 years old, we can use conditional probability. The formula for conditional probability is:

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

In this case, A represents the event that a climber succeeds in climbing Everest, and B represents the event that a climber is at least 60 years old. We are given that the probability of a climber being at least 60 years old is 0.04, and the probability of a climber being at least 60 years old and succeeding in climbing Everest is 0.005. Plugging these values into the formula, we get:

P(Success | Age 60+) = P(Success and Age 60+) / P(Age 60+)

P(Success | Age 60+) = 0.005 / 0.04 = 0.125

Therefore, the probability of success, given that a climber is at least 60 years old, is 0.125.