Question

When only the​ value-added time is​ considered, the time it takes to build a laser printer is thought to be uniformly distributed between 10 and 17 hours. a. What are the chances that it will take more than 16 ​value-added hours to build a​ printer? b. How likely is it that a printer will require less than 15 ​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 15 ​value-added hours to complete.

Answer 1

Let X denote the time it takes to build a laser printer (in hours). Then

a)

Required probability =

b)

Required probability =

c)

We know that probability that a printer will require less than 15 ​value-added hours is 0.7143.

So, Required probability = (0.7143)(0.7143) = 0.5102