Suppose that in a certain small town it either rains or is sunny every day. A meteorologist notes that when it is sunny in this town, it will be sunny the next day with probability 0.6. If it rains, it will be sunny the next day with probability 0.3. Answer the following questions:1. **What is the probability that it will rain the next day if it was sunny the previous day?** - Answer: **0.4**2. **Suppose that the weatherman estimates there is a 70% chance of showers today. Find the probability vector representing this estimation where state 1 is sunny and state 2 is rainy.** - Probability Vector: \(\begin{bmatrix} 0.3 \\ 0.7 \end{bmatrix}\)3. **Based on the meteorologist’s estimation, what is the chance of rain tomorrow?** - Answer: **0.61**4. **Based on the meteorologist’s estimation, what is the chance of rain two days from now?** - Answer: **0.343**

Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

Answered: Suppose that in a certain small town it…

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

2. The probability that it will rain today is 50%. The probability that it will rain tomorrow is 60%. There is a 30% probability that it will rain both days. What is the probability that it will rain either today or tomorrow?
Exhibit 5-10The probability that Pete will catch fish on a particular day when he goes fishing is 0.8. Pete is going fishing 3 days next week. Refer to Exhibit 5-10. The expected number of days Pete will catch fish is?
The probability that a statistics graduate from a Canadian university gets a data science job is 0.6.Ten graduates applied for executive jobs.What is the probability that exactly 3 will get jobs, at least 2 will get a job, at most 8 will get a job, and no one will get a job?
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 0.45. The probability that they make it to their first period class on time, given that they catch the bus is 0.71. The probability that Napoleon and Pedro catch the bus and make it to their first period class on time is 0.50. What is the probability that Napoleon and Pedro catch the bus?
Suppose it has been determined that the probability is 0.8 that a rat injected with cancerous cells will live. If 95 rats are injected, how many would be expected to die?
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 0.43. The probability that they make it to their first period class on time, given that they catch the bus is 0.82. The probability that Napoleon and Pedro catch the bus and make it to their first period class on time is 0.44. What is the probability that Napoleon and Pedro catch the bus? Answer in decimal form. Round to 4 decimal places as needed. Your Answer:
Please explains steps and solution to solve questions 3 and 4
The probability that Mr. Johnson goes for an evening walk on any given day during the winter is 0.56. Out of 89 days of winter, the number of days that Mr. Johnson is expected not to take an evening walk to the nearest day, is
Need help with Question 2.
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 0.30. The probability that they make it to their first period class on time, given that they catch the bus is 0.90. The probability that Napoleon and Pedro catch the bus and make it to their first period class on time is 0.21. What is the probability that Napoleon and Pedro catch the bus?

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