To get to the university campus you must take two buses. The first bus runs with probability 9/28. The second bus runs with probability 3/4. Moreover, the kind people at Transport for London always ensure that at least one of the buses is running. Given that the second bus is running, what is the probability that the first bus is not.
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To get to the university campus you must take two buses. The first bus runs with
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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 0.38. The probability that they make it to their first period class on time, given that they catch the bus is 0.60. The probability that Napoleon and Pedro catch the bus and make it to their first period class on time is 0.22. What is the probability that Napoleon and Pedro catch the bus?A school has 3 math classes, each with 25 students, and 2 science classes, each with 30 students. If a student is selected at random from the school, what is the probability that they are in a science class given that they are in a math class? Show your calculations and reasoning.A company is introducing a new product into the market. If the sales are high, there is a 0.6 probability that they will remain so next month. If they are not, the probability that will become high next month is only 0.1. The company has the option of launching an advertisement campaign. If it does and the sales are high, the probability that they will remain high next month will increase to 0.7. On the other hand, an advertising campaign while the sales are low will raise the probability to only 0.3. If no advertisement is used and the sales are high, the returns (in thousands of dollars) are expected to be 9 if the sales remain high next month and 3 if they do not. The corresponding returns if the product starts with low sales are 6 and -3. Using advertisement will result in returns of 8 if the product starts with high sales and continues to be so and 5 if it does not. If the sales start low, the returns are 4 and -6, depending on whether or not they remain high. Compute the…
- Kevin is playing basketball with joy. Based on existing experience, kevin generally managed to make 8 free throws out of 10 throws. Unlike Kevin, generally joy only managed to make 3 free throws out of 10 throws. That afternoon, the two of them competed with each other for free throws. If it is assumed that both Kevin and Joy are free throws and have an equal chance of entering the ring, a. What is the probability that out of 5 free throws made by Joy, only two make it into the ring? b. What is the probability that Kevin's third throw is a free sheet that goes into the ring? c. What is the probability that Joy's sixth throw is the second free throw that makes it into the ring?A company is introducing a new product into the market. If the sales are high, there is a 0.6 probability that they will remain so next month. If they are not, the probability that will become high next month is only 0.1. The company has the option of launching an advertisement campaign. If it does and the sales are high, the probability that they will remain high next month will increase to 0.7. On the other hand, an advertising campaign while the sales are low will raise the probability to only 0.3. If no advertisement is used and the sales are high, the returns (in thousands of dollars) are expected to be 9 if the sales remain high next month and 3 if they do not. The corresponding returns if the product starts with low sales are 6 and -3. Using advertisement will result in returns of 8 if the product starts with high sales and continues to be so and 5 if it does not. If the sales start low, the returns are 4 and -6, depending on whether or not they remain high. Obtain the…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?
- A couple is planning to have a three children. What is the probability that: All of the children will be girl? Two of the children will be boys? At least 2 of the children will be girls? The couple will have 2 boys at the most?Suppose the probability that you will be elected student president is 0.15, and the probability that you will get the student scholarship is 0.55. If the two events are independent, the probability that you will not only become the president but also get the scholarship is: need complete solutionAt a local restaurant, you are allowed to pick one side with your dinner. Because you can only choose one, your side choice is mutually exclusive of all the other sides to chose from. On any given day, there is a 0.34 chance you will pick an fries, and a 0.1 chance you will pick an veggies. Today, you do not pick an veggies; what is the probability you pick fries today?
- 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?Milo will be having a sports camp next summer. 1 of the Coaches is Coach Mark and he will be handling basketball and volleyball clinics. He has 20 basketball balls and 15 volleyball balls. What is the probability that Coach Mark will get exactly 1 volleyball ball if Coach Mark take 4 balls at random?
