Two students, Michelle and Charles, who don't know each other, each choose a channel. The two events, N = [Charles watches news] and F = [Michelle watches football] are dependent events A) True B) False
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![Two students, Michelle and Charles, who don't know each other, each choose a channel. The two events, N =
[Charles watches news] and F = [Michelle watches football] are dependent events
A) True
B) False](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2215b725-c789-4de6-b140-dbe4c35cafeb%2Fc6a14f73-bbe0-4636-8527-cc140f1cf261%2Fce69dh7_processed.png&w=3840&q=75)
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- The math professor gave the class a set of 12 review problems and toldthem that the midterm exam would consist of 6 of the 12 problems selected at random.If Mela memorized the solutions to 8 of the 12 problems but could not solve any ofthe other 4 problems, what is the probability that she got 4 or more problems correctin the exam?You are rolling two dice, one red and one green. Now suppose we only care about sum of the dice. What are the different outcomes and their frequencies?On a 5 question multiple choice test there are five possible answers, of which one is correct. If a student guesses randomly and independently, what is the probability that she is correct only on questions 1 and 4? If a student guesses randomly and independently, what is the probability that she is correct only on two questions?
- 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: GFred has 4 place settings consisting of a dinner plate, a salad plate, and a bowl. Each setting is a different color. If Fred randomly selects a dinner plate, a salad plate, and a bowl, what is the probability that they all have different colors? The probability isThere are two urns, one containing a blue sock and the other a red sock. A person randomly picks a sock. After this, someone puts a red sock in the empty urn. The person again randomly picks a sock and it is the probability that the first sock was red?
- 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 processTom,Dick and Harry have three deck of cards.If each of them pick one card from their own deck at random,what is the probability that all three cards are Ace?The Math teacher gave the class a set of 12 review problems and toldthem that the midterm exam would consist of 6 of the 12 problems selected at random.If Ana memorized the solutions to 8 of the 12 problems but could not solve any ofthe other 4 problems, what is the probability that she got 4 or more problems correctin the exam?
- An integrated circuit contains 9.5x10 logic gates; each gate can be a logical AND or OR circuit. Assume the probability of a gate failure is p and that the failures are independent. If any gate in the circuit fails, the entire circuit will fail. What should be the value of p so that the probability that the integrated circuit functions is 0.95? 5.Ryuji Sakamoto wants to be voted Best Athlete and needs to earn the support of fellow athletes at his high school, Shujin Academy, before the election. He can talk with three groups of students: the track and field students, the volleyball team, and the baseball team. Assume every student fits into only one of these groups and that all students will vote. The size of each group and the chance that the group would vote for Ryuji are given below. Probability the Group will Vote for Ryuji Size of the Group Group (in percent of athletes) Track and Field 47% 76% Volleyball 33% 44% Baseball 20% 43% The percentage of votes Ryuji is expected to get is Number %. Is Ryuji expected to win? Yes O NoFive people, designated as A,AB,C,D,E are arranged in linear order. Assuming that each possible order is equally likely, what is the probability that there are exactly two people between A and B?
