4x 18)The score of a student in certain exam is represented by a number between number 0 anl. Suppose the student passes
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4x 18)The score of a student in certain exam is represented by a number between number 0 anl. Suppose the student passes
4x 18)The score of a student in certain exam is represented by a number between number 0 anl. Suppose the student passes if this number is at least 0.55. Suppose X is continuous random variable, and the students score pdf is given by OSX s 1/2 f(x) = {4-4x 35x<1 otherwise a. What is the probability that the student fails the exam ? [Hint: P (0 SX 30.55) ] b. What is the probability that the student passes the exam ? [Hint: P (0.55 SX S1)] c. Find expected value (mean), variance, standard deviation Answer: a. 0.595; b.0.405 0
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