Economics > EXAM > Statistics 2060/MATH 2060/ECON 2260 Midterm Test>Dalhousie University - ECON 2260(ALL ANSWERS VERIFI (All)

Statistics 2060/MATH 2060/ECON 2260 Midterm Test>Dalhousie University - ECON 2260(ALL ANSWERS VERIFIED)100% SCORE

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Statistics 2060/MATH 2060/ECON 2260 Midterm Test Date and Time: 7:00pm - 9:00pm, October 26, 2016 Name: Student ID: Please answer the questions in the space provided. JUSTIFY YOUR ANSWERS. A calcu... lator is permitted. (3) 1. An appliance dealer sells three different models of upright freezers having 14, 16, and 20 cubic feet of storage space, respectively. Let X be the amount of storage space purchased by the next customer to buy a freezer. Suppose that X has pmf x 14 16 20 p(x) .1 k .6 (a) Find k.(1) (2) (b) What is the probability that the amount of storage space purchased by the next customer is not 16 cubic feet? (10) 2. A box contains 2 red balls and 3 green balls. A ball is selected at random. If it is green, the ball is kept aside. If it is red, it is replaced into the box. The process continues until 2 green balls have been selected, or 4 balls have been chosen. (4) (a) Write the sample space of this experiment, using G to denote a green ball and R to denote a red ball. One outcome is GRG, for example. (4) (b) What is the probability that no more than three balls are selected? This study source was downloaded by 100000793680026 from CourseHero.com on 04-17-2021 10:31:51 GMT -05:00 https://www.coursehero.com/file/25487580/midtermStat2060Fall16pdf/ This study resource was shared via CourseHero.com2 (10) 3. A common injury for downhill ski racers is to the anterior cruciate ligament (ACL) of the knee. The number of ACL operations, X, required by a ski racer during their career has the following probability distribution x 0 1 2 p(x) 0.2 0.3 0.5 (a) Find the mean number of operations.(2) (b) Find the variance of mean number of operations.(3) (2) (c) Suppose the racer loses 2 months of training following an ACL operation. What are the mean and variance of the total number of months lost to training? (d) Find the cumulative distribution function of X and plot it(4) 4. Show how two independent events cannot be disjoint.(4) This study source was downloaded by 100000793680026 from CourseHero.com on 04-17-2021 10:31:51 GMT -05:00 https://www.coursehero.com/file/25487580/midtermStat2060Fall16pdf/ This study resource was shared [Show More]

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