Average number of taxis waiting

Assignment Help Basic Statistics

Reference no: EM131005673

1. 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 ?x 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?

2. Consider a taxi station where taxis and customers arrive in accordance with Poisson processes with respective rates of one and two per minute. A taxi will wait no matter how many other taxis are present. However, an arriving customer that does not ?nd a taxi waiting leaves. Find

(a) the average number of taxis waiting, and

(b) the proportion of arriving customers that get taxis.

Reference no: EM131005673

Questions Cloud

Mid-term progress report on target market selection : Mid-term progress report on target market selection, brand offerings, and perceived consumer positioning for Del Taco Marketing Project. Upload as Word Document. Length is 3-5 pages, plus relevant attachments.

Create a plan of action to enhance your personal attributes : Create a plan of action to enhance your personal attributes as the sales manager in the following areas: Self-Aware, Personality and Behavior, Stress Management

What are the steps in creating an implantation plan : What are the steps in creating an implantation plan

Bleach of contract : IN law of contract, what are the legal action one may take for bleach of contract, or probably the steps to take for a bleach of contract

Average number of taxis waiting : (a) the average number of taxis waiting, and (b) the proportion of arriving customers that get taxis.

What is the new pressure in the tank : A sealed rigid tank is filled with 1 kg of steam at 200 °C and 10 bar. What is the volume of the tank? 0.5 kg of steam are removed from the tank. If the temperature remains at 200 °C, what is the new pressure in the tank?

Determine the coordinates of the maximum point : Determine the coordinates (tm, ym) of the maximum point of the solution as function of β. Determine the smallest value of β for which ym ≥4. Determine the behaviour of tm and ym as β→∞

Distribution of the number of customers : Customers arrive at a single-server queue in accordance with a Poisson process having rate λ. However, an arrival that ?nds n customers already in the system will only join the system with probability 1/(n + 1). That is, with probability n/(n + 1)..

Variance of the time : the expected value and the variance of the time until both are in the repair facility. In the long run, what proportion of time is there a working machine?

User Account

All Pages