variable X is the volume of fluid produced in Questions 9 and 10 are based on th

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variable X is the volume of fluid produced in Questions 9 and 10 are based on the following Random va process. It has the following PDF for x 5 ml. fx) 0.2 you want to graph the CDE of X, what will the axes labels be? Circle nswer sheet. If you circle more than two, you will receive no credit for this uppercase, and some are lower; this is deliberate. sxactly two 9. (4 pts) Partial credit possible. If you want to graph the CDE of X, what will the of the choices question. Some of the letters are provided on the a X and show that it is a 10. (8 pts) Partial credit possible. Determine the CDF of X. Include appropriate ranges for a CDF. Graph the CDF of X with appropriate axes labels. 11. (3 pts) No partial credit. Suppose you have six green marbles, five blue marbles, and four red marbles in a bag brarble is equally likely. What is the probability of NOT drawing a red marble? Express your answer 12. (3 pts) No partial credit. X is the number of defects on a small mirtor that is produced for automobiles. Historical data show that the following PMF models X: P(x) for x0 1.5k fors: 2 What is the numerical value of k that makes p(sy) a valid probability mass function? Circle the one correct answer on the answer sheet. 13. (3 pts) No partial credit. Suppose that X~ Normal(5, 4). What is the standard deviation of Xa 14. (2 pts) No partial credit. According to the text, which probability distribution is often used as a model of the distance between successive events from a Poisson process? Circle the correct answer on the answer sheet.

Explanation / Answer

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12. Since its a probability distribution, the p(x) will add upto 1. Hence,

k+2k+1.5k+ 0 = 1

So, 4.5k = 1

k = 1/4.5

So, the numerical value of k which makes p(x) a valid prob mass function is 1/4.5

13. If X~N(5,4), then standard deviation of X is 4 because Normal distibution'

annotation is X~(Mean, Stdev).

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