Note: If your answer does not exactly match the correct choice, it is due to rounding of intermediate calculations. To avoid the discrepancy, do all your calculations in Excel without rounding. Consider the following probability distribution of the random variable X. I \"I! 0.001 0.012 0.056 0.151 0.251 0.269 0.180 0.069 0.011 mumm-thHc: 1 The expected value ofx is . a 4.577 b 4.39? c 4.224- d 4.058 2 The variance of x is a 2.115 b 2.032 c 1.952 d 1.875 Next THREE questions are related to the following: The expected number of days to completion for a different project is 3.4-5 days-E(x) = 3.45. The variance is 1.42--var(x) = 1.42.. The project cost is made up of a xed cost of $44- {thousand}, plus a variable cost of $6.5 {thousand} for each day taken to complete the project. 14 The expected value of the project cost is 53 thousand. a 66.425 b 68.835 c 71.335 d 73.920 15 The variance of project cost is a 53.230 b 59.995 C 62.1275 d 103.995 16 The standard deviation of the project cost is 33 a 10.198 b 8.621 c 8.172 d 7.746 17 If you toss a balanced coin 30 times, the probability that you will get 15 tails is a 0.0856 b 0.1445 c 0.2506 d 0.5 18 If you toss a balanced coin 30 times, and receive $5 each time you get tails, the probability that you will earn $85 in this experiment is a 0.2178 b 0.1743 c 0.1394- d 0.1115 The proportion of vehicles which drive above the speed limit on a freeway is 85%. Suppose 20 vehicles are randomly clocked. 19 The probability that at least 15 vehicles drive above the speed limit is a 084-18 b 0.8861 c 0.9327 d 0.9618 20 If each speeding vehicle is issued a $200 speeding ticket, the expected value of the ticket amount is $ a $3,250 b $3,300 C $3,350 (1 $3,400