lichael wants to take French or Spanish, or both. But classes are closed, and he must apply and get accepted to e allowed to enroll in a language class. He has a 50% chance of being admitted to French, a 50% chance of eing admitted to Spanish, and a 20% chance of being admitted to both French and Spanish. If he applies to oth French and Spanish, the probability that he will be enrolled in French or Spanish (or possibly both) is A) 0.65
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- A group of friends plans to have a picnic in the park, but the weather forecast shows a 60% chance of rain. If three friends decide to go ahead with the picnic regardless of the weather, what is the probability that exactly two of them will get rained on?A box contains red and green balls. Two balls are randomly selected without replacement. The probability of selecting a red and then a green ball is 0.5. The probability of selecting a red ball in the first pick is 0.5. What is the probability of picking a green ball, given that the first ball picked was red?At the beginning of the semester, a professor tells The professor informs the class that there will be a students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If test next week. What is the probability that a randomly selected student studied if they do not pass the test with a B or higher? they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram. O 0.45 O 0.46 O 0.54 O 0.59 Gets B or 0.55 higher Studies for test Does not get B or higher 0.6 0.45 Random student Gets B or 0.20 04 Does not higher Mark this and return Save and Exit Next Subrnit DELL F3 F4- F5 F6 F7 F8 F9 F10 F11 F12 PriScr Inser %2$ 4. 8. R T Y 4 H K 近
- Wendy needs to get to an airport from a hotel. There is 0.33 chance that she calls a cab, there is 0.11 chance that she gets a Uber. If she cannot get a cab or Uber, she will take a shuttle. If she calls a cab, there is 0.29 chance that she could miss the flight. If she gets a Uber, the chance of missing flight is 0.22. If she takes the shuttle, the chance is 0.28. What is the probability that she misses the flight? (Round your answer to three decimal places)The weather in a particular town in the Pacific northwest is classified as either good, indifferent or bad. If the weather is good on a particular day, the probability it will remain good the next day is only 11%, and there is a 45% chance it will be indifferent. If the weather is indifferent on a particular day, there is a 20% chance it will become good, and a 42% chance it will become bad. If the weather is bad on a particular day, there is a 48% chance it will be bad the next day, and a 21% chance it will become indifferent. Construct the stochastic matrix that models this problem.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
- At 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?A company requires all job applicants to undergo drug testing for employment. If the applicant has used drugs the test has a 90% chance of a positive result. If the applicant has not used drugs the test has an 85% chance of a negative result. 4% of all applicants have used drugs. If an applicant has a positive test, what is the probability he or she has actually used drugs?You are interested in the number of people that will visit your restaurant in the noon hour. Historically, there is a 10% chance that more than 10 customers will visit, a 30% chance that more than 8 customers will visit, a 50% chance that more than 6 customers will visit, a 80% chance that more than 4 customers will visit, and a 95% chance that at least 2 customers will visit during the noon hour. What is the probability that 4 or less customers will visit the restaurant -- the number required to break even financially for the day?Express your answer as a percent value. So if your answer is 100% for example, enter 100. Round your answer to the nearest percent.
- On Mr. Casper's debate team at Thunderbird High School, 20% of the members are Sophomores, 35% are Juniors and 45% are Seniors. A team member is selected randomly to give the closing argument for the team. If a sophomore gives the closing argument, the team has a probability of 0.25 of winning the debate. If a junior gives the closing argument, the probability of winning is 0.6. If a senior closes, the probability of winning is 0.85. (a) Find the probability that the team wins the debate. b sketch a tree diagram to model this processYou will take either a basket weaving class or a philosophy class, depending on what your advisor decides. You estimate that the probability of getting an A in basket weaving is 0.35 (it is a hard class), while in philosophy your probability of getting an A is 0.84. However, your major is straw construction, and the chance of your advisor choosing the philosophy class is only 40%. What is the probability that you get an A? The probability that you get an A is (Give the exact simplified probability.)