According to the Chronicles of Contrived Statistics (March, 2016), the probability that Elon Musk will offer you a free trip into space in the next month is 22%. The probability that either Elon Musk will offer you a free trip to space or that scientists will begin sales of pet aliens next month is 52%. Finally, they list that probability of both happening in the next month is 12%

According to the Chronicles of Contrived Statistics (March, 2016), the probability that Elon Musk will offer you a free trip into space in the next month is 22%. The probability that either Elon Musk will offer you a free trip to space or that scientists will begin sales of pet aliens next month is 52%. Finally, they list that probability of both happening in the next month is 12%

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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A study tracked a large group of people for 10 years. At the start of the study, 20% were heavy smokers (H), 30% were light smokers (L), and 50% were non-smokers (N). The interest of the study was whether the people in the study died during the study (D) or not die (Dc ). The probability that a light smoker died during the study was twice that of the probability of a non-smoker dying. Also, the probability that light smoker died during the study was half that of the probability of a heavy smoker dying. A randomly selected person from the study died during the study. What is the probability that this person was a heavy smoker (given they died, what is the probability they were a heavy smoker H)?
In women’s tennis, a player must win 2 out of 3 sets to win a match. If a player wins the first 2 sets, she wins the match and the third set is not played. Player V and Player M will compete in a match. Player V and Player M have competed against each other many times. Historical data show that each player is equally likely to win the first set. If Player V wins the first set, the probability that she will win the second set is 0.60. If Player V loses the first set, the probability that she will lose the second set is 0.70. If Player V wins exactly one of the first two sets, the probability that she will win the third set is 0.45. What is the probability that Player V will win a match against Player M?
You are the webmaster for your firm's website. From your records, you know that the probability that a visitor will buy something from your firm is 0.26. In one day, the number of visitors is 1050. If the visitors' traffic is more than the expected for the day, what is the probability that at least 10 more than the expected visitors will buy something from the firm?
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
On average a certain intersection results in 3 traffic accidents per month. What is the probability that for any given month at this intersection: 5 or 6 accidents in half of a year?
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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 0.37. The probability that Napoleon and Pedro catch the bus is 0.66. However, the probability that they make it to their first period class on time, given that they catch the bus is 0.61. What is the probability that Napoleon and Pedro catch the bus and make it to their first period class on time?
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?
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According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers will score a touchdown on their opening drive is 0.26. The probability that their defense will have 3 or more sacks in the game is 0.15. The probability that the Bucs will both score a touchdown on their opening drive and have 3 or more sacks in the game is 0.06. What is the probability that they will either score a touchdown on the opening drive or have 3 or more sacks in the game?
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A poll showed that 49.8% of Americans say they believe that some people see the future in their dreams. What is the probability of randomly selecting someone who does not believe that some people see the future in their dreams.