Use your answer in part b to compute the expected number of

Assignment Help Basic Statistics

Reference no: EM13616513

Customers arrive at the ATM at the rate of 12 customers per hour and spend 2 minutes, on average, on all the transactions. This system is modeled by the single-server Bernoulli queuing process with 1-minute frames.

a. Compute the transition probability matrix for the number of customers at the ATM at the end of each frame.

b. Currently the ATM is idle. Find the probabilities that, in 3 minutes, the ATM will be idle; will be serving one customer with no one in the queue; will be serving one customer with one customer waiting in the queue; and will be serving one customer with two customers waiting in the queue.

c. Use your answer in part b to compute the expected number of customers in the system 3 minutes after the ATM was idle.

d. Use your answers in parts b and c to compute the expected number customers waiting in the queue 3 minutes after the ATM was idle.

Reference no: EM13616513

Questions Cloud

Twenty moles of a monatomic ideal gas r 53 undergo an : twenty moles of a monatomic ideal gas r 53 undergo an adiabatic process. the initial pressure is 400 kpa and the

A 30uf capacitor initially charged to 20uf is discharged : a 30uf capacitor initially charged to 20uf is discharged through a 2.2kohms resistor. how long does it take to reduce

Trevor price bought 10-year bonds issued by harvest foods : trevor price bought 10-year bonds issued by harvest foods five years ago for 981.15. the bonds make semiannual coupon

A what is the magnetic moment of the loop and b what is the : the triangular coil of wire in the drawing is free to rotate about an axis that is attached along side ac. the current

Use your answer in part b to compute the expected number of : customers arrive at the atm at the rate of 12 customers per hour and spend 2 minutes on average on all the

A small business owner visits his bank to ask for a loan : a small business owner visits his bank to ask for a loan. the owner states that she can repay a loan at 1250 per month

A wire has a length of 705 times 10-2 m and is used to make : a wire has a length of 7.05 times 10-2 m and is used to make a circular coil of one turn. there is a current of 5.47 a

At a track and field tournament freds long jumps vary : at a track and field tournament freds long jumps vary evenly from 6.5 to 7.2 meters. let x be the length of freds long

You have secured a loan from your bank for two years to : you have secured a loan from your bank for two years to build your home. the terms of the loan are that you will borrow

User Account

All Pages