A queue forms at the foot of a ski lift and new skiers join when there are less than 6 people in the queue. When there are six people, it's must use a
other ski lift.
Chairs arrive in pairs 30 seconds apart, and the probabilities of new skiers arriving within 30 seconds are:
Þ (0) = 0.15
p (3) = 0.2
Þ (1) = 0.2 p (2) = 0.25
Þ (4) = 0.15 p (5) = 0.05.
Considering the states as the number of skiers in the queue immediately after the start of a price of chairs and the steps as the start of a price of chairs, write the transition matrix for this Markov chain,
other ski lift.
Chairs arrive in pairs 30 seconds apart, and the probabilities of new skiers arriving within 30 seconds are:
Þ (0) = 0.15
p (3) = 0.2
Þ (1) = 0.2 p (2) = 0.25
Þ (4) = 0.15 p (5) = 0.05.
Considering the states as the number of skiers in the queue immediately after the start of a price of chairs and the steps as the start of a price of chairs, write the transition matrix for this Markov chain,