High School

We appreciate your visit to When only the value added time is considered the time it takes to build a laser printer is thought to be uniformly distributed between 7. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

When only the value-added time is considered, the time it takes to build a laser printer is thought to be uniformly distributed between 7 and 13 hours.

a. What are the chances that it will take more than 11 value-added hours to build a printer?

b. How likely is it that a printer will require less than 9 value-added hours?

c. Suppose a single customer orders two printers. Determine the probability that the first and second printer each will require less than 9 value-added hours to complete.

Answer :

Final answer:

The probability it takes more than 11 hours to build a printer is 33.33%. The probability it takes less than 9 hours is also 33.33%. If two printers are being built, the probability that both will take less than 9 hours is 11.11%.

Explanation:

In order to find probabilities in a uniformly distributed random variable, we need to calculate the length of the interval first. The length is the difference between the maximum and minimum values i.e. 13 - 7 = 6.

For part a, the chances it takes more than 11 hours would be the difference between the maximum value and 11 i.e. 13 - 11 = 2. So, the probability would be 2 divided by the total length of interval i.e. 2/6 = 0.3333, or about 33.33%.

For part b, it is similar. The difference between 9 and the minimum value 7 is 2 so the probability is also 2/6 = 0.3333, or about 33.33%.

For part c, since we are dealing with two independent events (building two printers), we would find the probability of one event and then square it as P(A and B) = P(A)*P(B) for independent events. The probability of one printer taking less than 9 hours is about 33.33%, and the square of that probability is about 0.1111 or 11.11%.

Learn more about Probability here:

https://brainly.com/question/32117953

#SPJ11

Thanks for taking the time to read When only the value added time is considered the time it takes to build a laser printer is thought to be uniformly distributed between 7. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada