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Multiple Choice 1. The following are examples of a random variable except a. number of Bangus fingerlings in a randomly selected fish pond in Bulacan. b. the degree of divinity of a randomly selected person in a certain community. C. the score in a 10-item quiz of a randomly selected student. d. the age of randomly selected fourth year student.

Multiple Choice 1. The following are examples of a random variable except a. number of Bangus fingerlings in a randomly selected fish pond in Bulacan. b. the degree of divinity of a randomly selected person in a certain community. C. the score in a 10-item quiz of a randomly selected student. d. the age of randomly selected fourth year student.

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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5. Consider two discrete random variables X and Y with their respective pmf's: 1 p(x) = x=-1, 0, 1; p(y) = 3 y =-20, 0, 20. 3 %3D Which of the following statements is TRUE? a. The mean of X is larger than the mean of Y. b. The two random variables have the same distribution. C. The standard deviations of the two random variables are equal. d. The random variable Y has greater variation than X. A random variable has expected value 10 and standard deviation 1. What can we say about the probability that the random variable is greater than or equal to 13? The probability is at most 3 a. C. The probability is at least b. The probability is at most The probability is at least 6. d. 7. Which numerical measures gives the amount of variation of the distribution? a. Mean C. Standard deviation b. Variance d. Both mean and variance 1/31 6.
Transcribed Image Text:5. Consider two discrete random variables X and Y with their respective pmf's: 1 p(x) = x=-1, 0, 1; p(y) = 3 y =-20, 0, 20. 3 %3D Which of the following statements is TRUE? a. The mean of X is larger than the mean of Y. b. The two random variables have the same distribution. C. The standard deviations of the two random variables are equal. d. The random variable Y has greater variation than X. A random variable has expected value 10 and standard deviation 1. What can we say about the probability that the random variable is greater than or equal to 13? The probability is at most 3 a. C. The probability is at least b. The probability is at most The probability is at least 6. d. 7. Which numerical measures gives the amount of variation of the distribution? a. Mean C. Standard deviation b. Variance d. Both mean and variance 1/31 6.
Multiple Choice 1. The following are examples of a random variable except a. number of Bangus fingerlings in a randomly selected fish pond in Bulacan. b. the degree of divinity of a randomly selected person in a certain community. C. the score in a 10-item quiz of a randomly selected student. d. the age of randomly selected fourth year student. 2. Consider the random experiment of rolling a fair six-sided die twice. Which of the following statements is/are false? Statement I: The experiment has 12 possible outcomes. Statement II: The random variable T representing the sum of the outcomes in two rolls has 12 realized values. Statement III: The highest possible value of T is 12. I nly Il only a. C. I and II b. d. 1, II, and III 3. Which of the following is NOT probability mass function? p(x) = r(1-n), x = 0, 1; 0<n<1 ply) = y= 1,2, 3, .. if z = 0, a. b. C. -0.12 p(z) = if z 1, 0.36 0.51 if z 2. p(x) = H x 0, 1, 2, 3 d. 4. Which of the following statements is TRUE? P(X = k) = P(X sk)-P(X<k) for any discrete random variable X. a. The set of which the probability mass function is more than 0 is the set of all real numbers b. The function p(x) =-HG k= 0, 1, 2, 3. is a probability mass function. 台灣广 C. x =-3, 4 is not uniformly distributed. 2 d. A random variable with pmf p(x) D
Transcribed Image Text:Multiple Choice 1. The following are examples of a random variable except a. number of Bangus fingerlings in a randomly selected fish pond in Bulacan. b. the degree of divinity of a randomly selected person in a certain community. C. the score in a 10-item quiz of a randomly selected student. d. the age of randomly selected fourth year student. 2. Consider the random experiment of rolling a fair six-sided die twice. Which of the following statements is/are false? Statement I: The experiment has 12 possible outcomes. Statement II: The random variable T representing the sum of the outcomes in two rolls has 12 realized values. Statement III: The highest possible value of T is 12. I nly Il only a. C. I and II b. d. 1, II, and III 3. Which of the following is NOT probability mass function? p(x) = r(1-n), x = 0, 1; 0<n<1 ply) = y= 1,2, 3, .. if z = 0, a. b. C. -0.12 p(z) = if z 1, 0.36 0.51 if z 2. p(x) = H x 0, 1, 2, 3 d. 4. Which of the following statements is TRUE? P(X = k) = P(X sk)-P(X<k) for any discrete random variable X. a. The set of which the probability mass function is more than 0 is the set of all real numbers b. The function p(x) =-HG k= 0, 1, 2, 3. is a probability mass function. 台灣广 C. x =-3, 4 is not uniformly distributed. 2 d. A random variable with pmf p(x) D
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