hree jobs are executing in parallel. The processing time of each job has an exponential istribution with parameter 1. The processing times are independent. What is the expected time ntil the last job finishes?

61% Upgrade to maco. Get new FaceTime fe and Live Text. tt's Unit 3B Portfol X + dent/6296fceeee0a4ed3110bf4bc#screenid=5d8b1e89-55f6-49c0-a0b7-ce04b6... ** Every time a function is composed with itself, it is called an iteration. Iterations can be noted using a superscript. Function compositions can create iterations as well. <-----EXAMPLE 1. Your turn! Find the first 3 iterations of g(x) = 3x if you have an initial value of 2. Fill in the table below with your answers. Iterations Your Work Answer g(2) g² (2) g³ (2) then you Na

There is a 40% chance that a customer will choose Diner A for takeouts and a probability of 60% that he/she will choose Diner B. If he/she orders from Diner A, 12 minutes after placing the order, the remaining time it takes for the food to be delivered is exponentially distributed with an average of 14 minutes. If she orders from Diner B, 17 minutes after placing the order, the time it takes for the food to arrive is exponentially distributed with an average of 11 minutes. Given that he/she has already waited 27 minutes after placing the order, and the food hasn't arrived yet, what is the probability that he/she ordered from Diner A? HINT: Use continuous probability distributions methods.

DLP projectors are used in the majority of cinema projection systems and require a special light bulb to display a picture. Assume that the average life of a DLP bulb is 2,000 hours and that this failure time follows the exponential distribution. Answer the following questions, performing all computations with Excel functions.

In a company, a mechanic maintains four very important machines in a production process, which usually break down on average every 10 hours. This time between breakdowns has an exponential distribution. The mechanic spends on average 7 hours repairing a loom and its repair time also has an exponential distribution. Determine the average time a machine spends waiting for maintenance.

The unloading dock at the warehouse of P&S Supermarket has two workers who unload their own assigned truck respecsvely. The inter arval time of trucks is exponential with a mean of 20 minutes while the unloading time per truck is exponential with a mean of 15 minutes. If a truck arrives and two workers are unloading other trucks, the arriving truck joins the line of trucks waiting for service. Assume there is enough space to accommodate essentialy any number of trucks waiting in the ine int You may use the formulas for M/M/2 Queuing Model) What is the average number of trucks in the waiting line? O a. 0.0333 Ob.0.s O. 3 Od.0,1227 Oe. 2.25

A job shop consists of three machines and two repairmen. The amount of time a machine works before breaking down is exponentially distributed with mean 10. If the amount of time it takes a single repairman to fix a machine is exponentially distributed with mean 8, then(a) what is the average number of machines not in use?(b) what proportion of time are both repairmen busy?