Answer Happy

1. Suppose that we have a basket that contains & 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(s) is a valid probability density function of a continuous random variable X (0.2 if 45359 f(3) = {otherwise (1) TRUE (2) FALSE i. Let X1, X3.....X100 denote a random sample of size 100 from a normal population with mean # = 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