Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with parameter λ=0.9. what is (a) the probability that a repair time exceeds 8 hours? 1-e^(1/0.9*8) (b) the conditional probability that a repair takes at least 13 hours, given that it takes more than 9 hours? note: you can earn partial credit on this problem. your score was recorded. you have attempted this problem 3 times. you received a score of 0% for this attempt. your overall recorded score is 0%. you have unlimited attempts remaining.

The probability that a repair time exceeds 8 hours is

The conditional probability that a repair takes at least 13 hours, given that it takes more than 9 hours is  

Step-by-step explanation:

A continuous random variable X is said to have an exponential distribution with parameter shown as , if its probability density function is given by

Let X denote the time require to repair a machine.

(a) The probability that a repair time exceeds 8 hours;

(b) The conditional probability that a repair takes at least 13 hours, given that it takes more than 9 hours;

We want to find .

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

step-by-step explanation: yes