b Assuming the card selection is with replacement 4 There are 1000 students in

B assuming the card selection is with replacement 4

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(b) Assuming the card selection is with replacement. 4. There are 1000 students in a high school. Among the 1000 students, 250 students take AP Statistics, and 300 students take AP French. 100 students take both AP courses. Let S be the event that a randomly selected student takes AP Statistics, and F be the event that a randomly selected student takes AP French. Show all work. Just the answer, without supporting work, will receive no credit. (a) Provide a written description of the complement event of (S OR F). (b) What is the probability of complement event of (S OR F)? 5. Consider rolling two fair dice. Let A be the event that the sum of the two dice is 8, and B be the event that the first one is a multiple of 3. (a) What is the probability that the sum of the two dice is 8 given that the first one is a multiple of 3? Show all work. Just the answer, without supporting work, will receive no credit. (b) Are event A and event B independent? Explain. 6. Answer the following two questions. ( Show all work. Just the answer, without supporting work, will receive no credit). (a) UMUC Stat Club is sending a delegate of 2 members to attend the 2018 Joint Statistical Meeting in Vancouver, Canada. There are 10 qualified candidates. How many different ways can the delegate be selected?
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7. Assume random variable x follows a probability distribution shown in the table below. Determine the mean and standard deviation of x . Show all work. Just the answer, without supporting work, will receive no credit.
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