Over 1,000 people try to climb Mt. Everest every year. Of those who try to climb Everest, 31 percent succeed. The probability th at 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.
b. Is success in climbing Everest independent of age?
1 answer:
Answer:
A- 0.125
B- Success of climbing mount Everest is independent of age.
Step-by-step explanation:
A.
Let x denote success in climbing Mount Everest
Let y denote the climber is at least 60 years old.
Therefore,
P(x) = 0.31
P(y) = 0.04
P( x ∩ y) = 0.005
Probability of success when the climber is at least 60 years old =
P( x ∩ y) ÷ P(y) = 0.005 ÷ 0.04 = 0.125.
B.
The success rate is independent of age as there are both success and failure rates across board on the scale of ages of climbers.
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