Please do exercise 1 by the markov chain procedure as shown in the following example, it should be done like this, with clear and legible letters, thank you very much.

Example

An average of 5 vehicles per hour arrive at a car wash, if the car wash has 3 washers and each one takes an average of 30 minutes to wash a car, find:

? The average number of unoccupied washers in a given hour.

? The probability distribution for the unoccupied washing machines.

cars 1=5 hour cars H = 2 hour 2 M 3 M State 0: State 3: State 2: 3 HM, = 12 3ux, + Ax, = 2Ha2 + Azz 2x = 50 6x, + 5x, = 912 48 150 510 - 20, = 0 443 443 5x, - 61, =0 5x - 9x,+61, =0 120 125 443 443 48 120 150 125 795 E(m) = 0 + 2 + 3 1,79 = 2 443 443 443 443 443