Long-parkers and short-parkers arrive at a parking

Assignment Help Mathematics

Reference no: EM13714131

Long-parkers and short-parkers arrive at a parking place for cars according to independent Poisson processes with respective rates of λL = 4 and λS = 6 cars per hour. The parking place has room for only 2 cars. Each arriving car which finds both places occupied goes elsewhere. The parking time for long-parkers is exponentially distributed with a mean of 1 hour, while the parking time for short-parkers is exponentially distributed with a mean of 20 minutes.

(a) Model this situation as a continuous time Markov Chain

(b) What is the probability that the parking lot is empty?

(c) What is the probability that an arriving car is going elsewhere to park?

Reference no: EM13714131

Questions Cloud

Water is cooled within piston-cylinder device : Water is cooled within a piston-cylinder device from an initial state of 6 bars and 300°C to a final state of a saturated liquid at the same pressure. Determine the work done in kJ/kg. Determine the amount of heat transfer in kJ/kg

How can real-time quantitative pcr : How can real-time quantitative PCR determine if one copy of a gene is missing? a. Only one quarter the amount of protein accumulates in the cell

Physical differences among the types of epithelial tissues : What are the physical differences among the types of epithelial tissues you studied? (hint: this does not include the subtypes as well).

Y has a normal distribution with mean 1 : Conditional probability: suppose that if θ = 1, then y has a normal distribution with mean 1 and standard deviation σ, and if θ = 2, then y has a normal distribution with mean 2 and standard deviation σ. Also, suppose P r(θ = 1) = 0.5 and P r(θ = ..

Long-parkers and short-parkers arrive at a parking : Long-parkers and short-parkers arrive at a parking place for cars according to independent Poisson processes with respective rates of λL = 4 and λS = 6 cars per hour. The parking place has room for only 2 cars. Each arriving car which finds bot..

Brooke has to set up 70 chairs in equal rows : Brooke has to set up 70 chairs in equal rows for the class talent show. But,there is not room for more than 20 rows. What are the possible number of rows that Brooke could use?

Determining the number of solutions of a system : Determining the number of solutions of a system by finding the slope and the y intercept of a graph of each line in the system of equations?

Condition the pressure p and volume v of gas satisfy : Under a certain condition the Pressure p and volume v of gas satisfy the equation p^5v^7 =1000. Suppose that at some moment the volume of the gas is 4liters; the pressure is 200units, and the pressure at the rate 5units per second. Find the ra..

Let s be the ruled surface generated by the binormals : 1. Let σ be the ruled surface generated by the binormals b of a unit-speed curve γ: σ(u, v) = γ(u) + vb(u). Show that the first fundamental form of σ is

User Account

All Pages