# Applied Probability Questions

1. Jeru is having a debate with his classmate about whether various random variables are considered discrete or continuous. Consider the shelf life of a box of "Krispy Kreme" Donuts. Jeru states that the shelf life of a box of donuts represents a discrete event because the expiration date can only occur once. Is this true or false?

2. A new fuel injection system is experiencing high failure rates. The reliability function has been found to be

where t is measured in years. Find the MTTF. Please round your answer to 2 decimals.

3. What is the system reliability illustrated in the figure below? Please round your answer to 2 decimal places.

4. Two cards are simultaneously drawn at random from a standard deck of 52 cards. What is the probability that both cards drawn are queens? Please round you answer to 4 decimal places.

5. Suppose the condition monitoring and the failure statistics departments of company XYZ have 9 and 11 members, respectively. In how many ways can we select a committee to develop a reliability program if the committee is to consist of 3 members from the condition monitoring department and 4 members from the failure statistics department?

© BrainMass Inc. brainmass.com June 4, 2020, 5:25 am ad1c9bdddfhttps://brainmass.com/statistics/probability-density-function/applied-probability-questions-624759

#### Solution Preview

Jeru is having a debate with his classmate about whether various random variables are considered discrete or continuous. Consider the shelf life of a box of "Krispy Kreme" Donuts. Jeru states that the shelf life of a box of donuts represents a discrete event because the expiration date can only occur once. Is this true or false?

Explanation:

It is false, because shelf life also represents survival before death which is continuous.

A new fuel injection system is experiencing high failure rates. The reliability function has been found to be

where t is ...

#### Solution Summary

We use standard definitions to calculate the results.