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STAT 200 Final Exam 100% Correct Answers 1. True or False. Justify for full credit. (25 pts) (a) The normal distribution curve is always symmetric to its mean.

(b) If the variance from a data set is zero, then all the observations in this data set are identical. (c) . of complement the is where, 1) AND(AA A APc c (d) In a hypothesis testing, if the p-value is less than the significance level α, we do not have
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There are 50 students taking both courses. 13. What is the probability that a randomly selected junior is taking at least one of these two courses? (10 pts) 14. What is the probability that a randomly selected junior is taking PSYC300, given that he/she is taking STAT200? —————————————————————————————————————————– 15. UMUC Stat Club is sending a delegate of 2 members to attend the 2015 Joint Statistical Meeting in Seattle. There are 10 qualified candidates. How many different ways can the delegate be selected? —————————————————————————————————————————- 16. 16. Imagine you are in a game show. There are 4 prizes hidden on a game board with 10 spaces. One prize is worth $100, another is worth $50, and two are worth $10. You have to pay $20 to the host if your choice is not correct. Let the random variable x be the winning.Show all work. Just the answer, without supporting work, will receive no credit. (a) What is your expected winning in this game? (5 pts) (b) Determine the standard deviation of x. (Round the answer to two decimal places) (10 pts)

—————————————————————————————————————————– 17. Mimi just started her tennis class three weeks ago. On average, she is able to return 20% of her opponent’s serves. Assume her opponent serves 8 times. Show all work. Just the answer, without supporting work, will receive no credit.

(a) Let X be the