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Suppose that the test score of a student taking the final of a probability course is a random variable with mean 61.9. (a) Give an upper bound for the probability (in three decimal places) that the student's test score will exceed 95. Answer: Suppose that we know, in addition, that the standard deviation of the student's test score on the final is 5.1. (b) What is a lower bound of the probability (in three decimal places) that the student will score between 51.9 and 71.9 ? Answer: Which of the following statements are true? a. Probability density functions are always less or equal than 1. b. Markov's inequality generally requires the random variable X to be non-negative. c. Chebychev's inequality generally requires the random variable X to be non-negative. d. Probabilities are always less or equal than 1.

Suppose that the test score of a student taking the final of a probability course is a random variable with mean 61.9. (a) Give an upper bound for the probability (in three decimal places) that the student's test score will exceed 95. Answer: Suppose that we know, in addition, that the standard deviation of the student's test score on the final is 5.1. (b) What is a lower bound of the probability (in three decimal places) that the student will score between 51.9 and 71.9 ? Answer: Which of the following statements are true? a. Probability density functions are always less or equal than 1. b. Markov's inequality generally requires the random variable X to be non-negative. c. Chebychev's inequality generally requires the random variable X to be non-negative. d. Probabilities are always less or equal than 1.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose that the test score of a student taking the final of a probability course is a random variable with mean 61.9. (a) Give an upper bound for the probability (in three decimal places) that the student's test score will exceed 95. Answer: Suppose that we know, in addition, that the standard deviation of the student's test score on the final is 5.1. (b) What is a lower bound of the probability (in three decimal places) that the student will score between 51.9 and 71.9 ? Answer: Which of the following statements are true? a. Probability density functions are always less or equal than 1. b. Markov's inequality generally requires the random variable X to be non-negative. c. Chebychev's inequality generally requires the random variable X to be non-negative. d. Probabilities are always less or equal than 1.
Transcribed Image Text:Suppose that the test score of a student taking the final of a probability course is a random variable with mean 61.9. (a) Give an upper bound for the probability (in three decimal places) that the student's test score will exceed 95. Answer: Suppose that we know, in addition, that the standard deviation of the student's test score on the final is 5.1. (b) What is a lower bound of the probability (in three decimal places) that the student will score between 51.9 and 71.9 ? Answer: Which of the following statements are true? a. Probability density functions are always less or equal than 1. b. Markov's inequality generally requires the random variable X to be non-negative. c. Chebychev's inequality generally requires the random variable X to be non-negative. d. Probabilities are always less or equal than 1.
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