Solution Found!
The cycle time for trucks hauling concrete to a high way
Chapter 4, Problem 51E(choose chapter or problem)
The cycle time for trucks hauling concrete to a highway construction site is uniformly distributed over the interval 50 to 70 minutes. What is the probability that the cycle time exceeds 65 minutes if it is known that the cycle time exceeds 55 minutes?
Questions & Answers
QUESTION:
The cycle time for trucks hauling concrete to a highway construction site is uniformly distributed over the interval 50 to 70 minutes. What is the probability that the cycle time exceeds 65 minutes if it is known that the cycle time exceeds 55 minutes?
ANSWER:Step 1 of 2
Let us consider a random variable Y, it presents the cycle time for trucks hauling concrete to a highway construction site. And Y follows uniform distribution with parameters ‘a and b’.
Where, a = 50 and b = 70.
We need to find the probability that the cycle time exceeds 65 minutes if it is known that the cycle time exceeds 55 minutes.