Example 2.3.29 Four roads lead away from a jail. A prisoner escaping fromthe jail and selects a road at random. If road I is selected the probability ofescaping is 1/8, for road II it is 1/6, for road III it is 1/4, and if road IV isselected the probability of escaping is 9/10. What is the probability that theprisoner will succeed in escaping?

Answered: Image /qna-images/answer/72f05f34-9943-4b9a-bfa1-5709aedbcfe1.jpg

Answered: Example 2.3.29 Four roads lead away…

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...

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The weather in Columbus is either good, indifferent, or bad on any given day. If the weather is good today, there is a 40% chance it will be good tomorrow, a 30% chance it will be indifferent, and a 30% chance it will be bad. If the weather is indifferent today, there is a 50% chance it will be good tomorrow, and a 20% chance it will be indifferent. Finally, if the weather is bad today, there is a 10% chance it will be good tomorrow and a 30% chance it will be indifferent. a. What is the stochastic matrix, P, for this situation? b. Suppose there is a 10% chance of good weather today and a 90% chance of indifferent weather. What are the chances of bad weather tomorrow? c. Suppose the predicted weather for Monday is 40% indifferent weather and 60% bad weather. What are the chances for good weather on Wednesday? a. Create the stochastic matrix, P, where G is good, I is indifferent, and B is Bad. From: GIB a (Simplify your answers.) To: G
3. You get a haircut from Barber Shop 1 30% of the time and Barber Shop 2 70% of the time. Barber Shop 1 gives a good haircut 80% of the time and a bad haircut 20% of the time while Barber Shop 2 gives a good haircut 90% of the time and a bad haircut 10% of the time. For any given haircut, the probability that it is a bad haircut from Barber Shop 1 is Barber Shop 2 is and the probability that it is a good haircut from O.06; .63 .2; .73 O.06; .73 .2; .63
Based on a study from the Chronicles of Flippin'' Awesomeness, the probability that Napoleon and Pedro make it to their first period class on time is 0.29. The probability that Napoleon and Pedro catch the bus is 0.87. However, the probability that they make it to their first period class on time, given that they catch the bus is 0.81. What is the probability that Napoleon and Pedro catch the bus and make it to their first period class on time?
Do question 2
The management of the large department store in Example B.1 must determine whether more training is neededfor the customer service clerk. The clerk at the customer service desk can serve an average of three customersper hour. What is the probability that a customer will require 10 minutes or less of service?

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