Question

In: Statistics and Probability

A certain type of pump’s time until failure has an exponential distribution with a mean of...

  1. A certain type of pump’s time until failure has an exponential distribution with a mean of 5000 hours. State answers rounded to two decimal places.
    1. What is the probability it will still be operating after 3000 hours of service?
    2. What is the probability that it will fail prior to 6000 hours of service?
    3. If it has been running for 3000 hours, what is the probability it will still be running 2000 hours later?

Solutions

Expert Solution

TOPIC:Exponential distribution and probabilities.

Now, rounding the answers in two decimals( as needed ), the correct answers are:

a. 0.55

b. 0.70

c. 0.67

(ANSWERS)


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