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l. 1fou are given that P{A] = (Hi, 13(3) = 0.7. and P{.I1L.J B] = [1.53. 1Which of the following statements is true '1' [a] A and B are independent [b] PM. r"'| B} = {1.42 {c} :1 and B are mutually exclusive events {a} Hem} = so. 2. If PM] = use, 13(3) = man, and some) = as then P{.:1L..I B] is [a] a? [h] a] [c] as {a} ads 3. 1Which of the following is an example of a binomial experiment? [a] A shopping mall is interested in the inoome level of its customers and is taking a survey to gather information. {b} A business rm introducing a new product wants to know how many purchases its clients will make each year. {c} A sociologist is researching an area in an effort to determine the proportion of households with a male head of household. [d] A study is concerned with the average number of hours worked by high school students. :1. Let X be a discrete random variable with probability function f[i] = F{X = i] = 1' Ed, i = 1, 2, 3. 1'What is E{X2 1)? [a] 3 {h} 4 {c} 5 [d] [i 5. Which one the following statements is true. (a) The Hypergeometric random variable is the number of successes that occur in a certain period of time or space. (b) To determine the probability of a given number of defective items in a shipment, when the sam- pling is without replacement, the appropriate probability distribution is a Hypergeometric distribution. (c) The Poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is very small. (d) The Poisson random variable is a discrete random variable with finitely many possible values