6. There are 1000 juniors in a college. Among the 1000 juniors, 300 students are taking STAT200, and 200 students are taking PSYC300. There are 100 students taking both courses. Let S be the event that a randomly selected student takes STAT200, and P be the event that a randomly selected student takes PSYC300. (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 P). 

(b) What is the probability of complement event of (S OR P)? 

 

7. Consider rolling a fair 6-faced die twice. Let A be the event that the product of the two rolls is at most 5, and B be the event that the first one is an even number. 

(a) What is the probability that the product of the two rolls is at most 5 given that the first one is an even number? Show all work. Just the answer, without supporting work, will receive no credit. 

(b) Are event A and event B independent? Explain. 

 

8. Answer the following two questions. (Show all work. Just the answer, without supporting work, will receive no credit). 

(a) Mimi has seven books from the Statistics is Fun series. She plans on bringing three of the seven books with her in a road trip. How many different ways can the three books be selected? 

(b) UMUC Stat Club must appoint a president, a vice president, and a treasurer. There are 12 qualified candidates. How many different ways can the officers be appointed? 

 

9. Assume random variable x follows a probability distribution shown in the table below. Determine the mean and standard deviation of x. (Round the answer to two decimal places) Show all work. Just the answer, without supporting work, will receive no credit. 

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Status NEW Posted 14 Aug 2017 02:08 PM My Price 10.00

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