1. [25 pt.] Choose ONE answer for each following problem. 1.1) [5 Pt.] In left-skewed distributions, which of the following is the correct statement? (a) The distance from Q1 to Q2 is smaller than the distance from Q2 to Q3. (b) The distance from the smallest observation to Q1 is larger than the distance from Q3 to the largest observation. (c) The distance from the smallest observation to Q2 is less than the distance from Q2 to the largest observation. (d) The distance from Q1 to Q3 is twice the distance from the Q1 to Q2. 1.2) [5 Pt] Suppose the time interval between two consecutive defective light bulbs from a production line has a uniform distribution over an interval from 0 to 120 minutes. What is the mean of the time interval? (a) 0 (b) 60 (c) any value between 0 and 120 d) 120 1.3) [5 Pt.] If events A and B are mutually exclusive, then the probability of both events occurring simultaneously is equal to (a) 0.0 (b) 0. (c) any value between 0.0 and 1.0 (d) 1.0 1.4) [5 Pt.] Which of the following is NOT a reason for the need for sampling? (a) It is always more informative by investigating a sample than the entire population. (6) It is sometimes destructive to observe the entire population. (c) It is usually too costly to study the whole population d) It is usually too time consuming to look at the whole population. 1.5) [5 Pt.] If X follows the uniform distribution with a = 2 and b = 6, which of the following is NOT correct? (a) P(2 S X $ 4) = 0.5 (b) P(3