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.
b. Is success in climbing Everest independent of age?

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.

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204