1 Suppose your Instructor wants to randomly choose ane of the students in the class to...

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1 Suppose your Instructor wants to randomly choose ane of the students in the class to ask a question. Suppose the probability that the instructor asks Sam, one of your classmates, is 0.05 and the probability that she/he asks lohn, another student in your class, is 0.07. What is the probability that the Instructor asks one of these two students (assurning independence between these events)? 2. What is wrong with the following statements? Explain your answer. a. The probability that a student misses a class is 0.04 and the probability that he attends the class is 0.9 b. P(A and B)=0.2 c.P (complement of A) 0.7 glven that P(A) 0.7 3. Assume 1/3 of UBC students live outside the student housing, S/9 are originally from BC and 3/4 are either from BC or Iive in the student housing. If we randomly choose a student, what is the probability that the student is not from BC and lives in the student housing? 4. The following table shows profit for 150 companles in 4 different industries: Less than or equal to 50 million 17 More than 50 million Total Auto Industry Steel Indintry Food Industry Wood Industry Total 15 32 65 35 28 10 30 33 20 150 10 90 60 Assume we randomly choose a company, calculate the following probabilities: a. The company has a profit less than or equal to 50 million. b. The company is from the Auto industry. c The company is from the auto industry and has profit more than 50 million. d. The company is either from the auto company or has a profit more than 50 million. e. The compatny is from the auto industry given it has profit more than 50 million. 1. The company has a profit less than 50 million given it is not from the auto industry. 1 Suppose your Instructor wants to randomly choose ane of the students in the class to ask a question. Suppose the probability that the instructor asks Sam, one of your classmates, is 0.05 and the probability that she/he asks lohn, another student in your class, is 0.07. What is the probability that the Instructor asks one of these two students (assurning independence between these events)? 2. What is wrong with the following statements? Explain your answer. a. The probability that a student misses a class is 0.04 and the probability that he attends the class is 0.9 b. P(A and B)=0.2 c.P (complement of A) 0.7 glven that P(A) 0.7 3. Assume 1/3 of UBC students live outside the student housing, S/9 are originally from BC and 3/4 are either from BC or Iive in the student housing. If we randomly choose a student, what is the probability that the student is not from BC and lives in the student housing? 4. The following table shows profit for 150 companles in 4 different industries: Less than or equal to 50 million 17 More than 50 million Total Auto Industry Steel Indintry Food Industry Wood Industry Total 15 32 65 35 28 10 30 33 20 150 10 90 60 Assume we randomly choose a company, calculate the following probabilities: a. The company has a profit less than or equal to 50 million. b. The company is from the Auto industry. c The company is from the auto industry and has profit more than 50 million. d. The company is either from the auto company or has a profit more than 50 million. e. The compatny is from the auto industry given it has profit more than 50 million. 1. The company has a profit less than 50 million given it is not from the auto industry.

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1 Let PS be the probability of picking Sam and PJ be James PS005 PJ 007 finding PSUJ Ie picking ei... View the full answer