- F Suppose That We Have A Basket That Contains 8 White Balls And 12 Black Balls We Draw 10 Balls Without Replacement L 1 (98.56 KiB) Viewed 21 times
- F Suppose That We Have A Basket That Contains 8 White Balls And 12 Black Balls We Draw 10 Balls Without Replacement L 2 (120.54 KiB) Viewed 21 times
f. Suppose that we have a basket that contains 8 white balls and 12 black balls. We draw 10 balls without replacement. Let X denote a random variable that represents the number of white balls that are drawn. Which of the following statements is TRUE? (1) The probability distribution of X is a Binomial distribution. (2) The minimum possible value of X is 0. (3) The maximum possible value of X is 10. (4) All of the above (5) Both (2) and (3) g. Which of the following statements is TRUE? (1) Negative binomial distribution requires the fixed number of trials. (2) The possible values of Hypergeometric random variable are 0,1,2,...,n when n denotes the sample size. (3) Bernoulli distribution is a special case of Binomial distribution. (4) None of the above (5) All of the above h. Determine whether the following statement is TRUE or FALSE: the following f(x) is a valid probability density function of a continuous random variable X. f(x) = 50.2 if 4 Sx59 otherwise 0 (1) TRUE (2) FALSE = i. Let X1, X2, ..., X100 denote a random sample of size 100 from a normal population with mean h = 100 and standard deviation o = 5. Which of the following is the value of c such that P(X < c) = 0.983, where X denotes a sample mean? (1) 101.06 (2) 104.09 (3) 110.06 (4) 114.09 (5) 121.06
j. The following table shows the test scores for a specific student on Examl, Exam2, and Final exam, as well as the class average and standard deviation for each exam. Examl Exam2 Final Exam The student's test score 80 Class mean score 75 Class standard deviation of scores 2 78 72 1.8 82 73 3.8 On which exam did the student relatively do better than the other students in class? (1) Exam1 (2) Exam2 (3) Final Exam k. Which of the following would lead a confidence interval for the population mean based on a normal distribution to be narrower (assuming nothing else changes)? (1) Increased sample size (2) Increased confidence level (3) Increased population standard deviation (4) Both (1) and (2) (5) All of the above 1. Consider two discrete random variables with some valid joint probability mass function: X = {the number of credit cards owned by a randomly selected person Y = {the number of debit cards owned by a randomly selected person} Which of the following statements is TRUE for the correlation coefficient? (1) Suppose the correlation coefficient between X and Y is equal to 0. This implies that the number of credit cards is independent of the number of debit cards owned by a randomly selected person. (2) Suppose the correlation coefficient between X and Y is equal to 0.9. This means that the high usage of debit cards is due to the high usage of credit cards. (3) Suppose the correlation coefficient between X and Y is equal to 0.02. This means that there is almost no relationship between the usage of debit and credit cards for a randomly selected person (4) Both (1) and (3) (5) All of the above 5