A College Plans To Interview 8 Students For Possible Offer Of Graduate Assistantships

PROBLEM1.A college plans to interview 8 students for possible offer of graduate assistantships. The college has three assistantships available. How many groups of three can the college select?ANS:56PTS:1TOP:Probability Concepts2.A student has to take 9 more courses before he can graduate. If none of the courses are prerequisite to others, how many groups of four courses can he select for the next semester?ANS:126PTS:1TOP:Probability Concepts3.From among 8 students how many committees consisting of 3 students can be selected?ANS:56PTS:1TOP:Probability Concepts4.From a group of seven finalists to a contest, three individuals are to be selected for the first and second and third places. Determine the number of possible selections.ANS:210PTS:1TOP:Probability Concepts5.Ten individuals are candidates for positions of president, vice president of an organization. How many possibilities of selections exist?ANS:90PTS:1TOP:Probability Concepts6.Assume you have applied for two jobs A and B. The probability that you get an offer for job A is 0.23. The probability of being offered job B is 0.19. The probability of getting at least one of the jobs is 0.38.a.What is the probability that you will be offered both jobs?b.Are events A and B mutually exclusive? Why or why not? Explain.ANS:a.0.04b.No, because P(A  B)  0PTS:1TOP:Probability Concepts7.Assume you have applied for two