A taxicab driver moves between the airport A and two hotels B and C according to thefollowing rules. If he is at the airport, he will be at one of the two hotels next with equalprobability. If at a hotel then he returns to the airport with probability or goes to the other hotelwith probability . Suppose the driver begins at the airport at time 0. Find the probability foreach of his possible locations at time 2 and the probability he is at hotel B at time 3.

A tree diagram is a diagram, which shows all the possible outcomes associated with an experiment,…

Answered: A taxicab driver moves between the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

The sales agent Parson works in three cities A, B and C. To avoid unnecessary travel, he stays all day in the same city and spends the night there, moving to another city the next day if he does not have enough work. After working one day in C, the probability of having to continue working there the next day is 0.4, the probability of having to travel to B is 0.4 and the probability of having to travel to A is 0.2. If the traveler sleeps one day in B, with a probability of 20% he will have to continue working in the same city the next day, in 60% of the cases he will travel to C, while he will go to A with a probability of 0.2. Finally, if the sales representative works all day in A, he will remain in the same city the next day with a probability of 0.1, he will go to B with a probability of 0.3 and to C with a probability of 0.6. A) If today the commuter is in C, what is the probability that he will also have to work in C on the fifth day B) What are the percentages of days that the…
Robby wins 2 out of every 3 chess matches he plays with Marlene. What is the probability that he wins exactly 5 of the next 6 matches
The probability that the first record of a singing group will be a hit is 0.48. If their first record is a hit, so are all their subsequent records. If their first record is not a hit, the probability of their second and all subsequent ones being hits is 0.24. If the first two records are not hits, the probability that the third is a hit is 0.12. Find the probability that a group has exactly 2 hits in their first three records. P(exactly 2 hits in first three records) = (Simplify your answer. Type an integer or a decimal. Round to 6 places.)
snip
A group of five students went to a hotel with 10 upper floors and a ground floor. The students simultaneously enter the elevator at the ground floor. The students choose their exit floors independently of each other. Determine the probability that they are all going to different floors when each student randomly chooses one of the 10 floors as their exit floor.
A prize is placed at random in one of three boxes. You pick a box (and do not open it). Now, the dealer (who knows where the prize is) chooses one of the other two boxes, opens it and shows you that it is empty. She then gives you the opportunity to keep your original box or switch to the other unopened box. Find the probability of winning the prize if you switch. Find the probability of winning the prize if you stay. Should you stay or switch?
A family has 3 children. Assume that each child is as likely to be a boy as it to be a girl. Find the probability that the family has 3 girls if it is known the family has at least one girl.
A family has 66 children. Assume that each child is as likely to be a boy as it is to be a girl. Find the probability that the family has 66 girls if it is known the family has at least one girl.
Machines A and B produce 40% and 60% respectively of the production of a component intended for the motor industry. The probability that machine A produces a defective component is 0.05 while the probability that machine B produces a defective component is 0.09.D. If a component is selected at random and is found to be not defective, find the probability that it was made by machine B.E. What is the probability to find a component that is not defective and it was made by machine A?F. What is the probability to find a component that is not defective and it was made by machine B?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS