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 .

the answer is a

step-by-step explanation: