Suppose that in a certain small town it either rains or is sunny every day. A meteorologist notes that when it is sunny inthis town, it will be sunny the next day with probability 0.3. If it rains, it will be sunny the next day with probability 0.5.Answer the following questions:1. What is the probability that it will rain the next day if it was sunny the previous day?2. Suppose that the weatherman estimates there is a 70% chance of showers today. Find the probability vectorrepresenting this estimation where the state 1 is sunny and state 2 is rainy.3. Based on the meteorologist's estimation, what is the chance of rain tomorrow?4. Based on the meteorologist's estimation, What is the chance of rain two days from now?...

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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...

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Suppose a math class contains 28 students. There are 17 females (two of whom speak Spanish) and 11 males (three of whom speak Spanish). Give all answers as decimals to at least two decimal places.1. What is the probability that a randomly selected student speaks Spanish, given that the student is female? 2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male? 3. What percent of Spanish speaking students are male? Give answer as a decimal. 4. If someone does not speak Spanish what is the probability they are female?
Suppose on a given day, there is a 23% chance Emily will forget her wallet when going to work. What is the probability she forgets her wallet at least once in the next ten days she goes to work?
Suppose a math class contains 33 students. There are 23 females (five of whom speak Spanish) and 10 males (two of whom speak Spanish). Give all answers as decimals to at least two decimal places. 3. What percent of Spanish speaking students are male? 4. If someone does not speak Spanish what is the probability they are female?
If there is a 10% chance it will rain each day for the next week, what is the probability that it will rain at least once?
Suppose on a given day, there is a 23% chance Emily will forget her wallet when going to work. What is the probability she forgets her wallet at least once in the next ten days she goes to work?
6. The probability that a randomly chosen adult resident of Bayview city owns a boat is 0.16. The probability that a randomly chosen adult rents an apartment is 0.30. The probability that the adult owns a boat given they rent an apartment is 0.20. Find the probability that a randomly chosen adult rents an apartment and owns a boat.
A friend flips a coin 20 times and says that the probability of getting a head is 40% because he got eight heads . Is the friend referring to an empirical or a theoretical probability?
Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx
The probability of the Dow Jones index rising on the first day of trading next week is thought to be 0.6. If it does rise then the probability that the value of shares in a publishing company will rise is 0.8. If the index does not rise then the publishing company’s shares will only have a 0.3 probability of rising. What is the probability that the publishing company’s shares will rise in value on the first day of trading next week?
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?
Solve Question 1 and show work. Please and thank you.

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