Instructions: When work is required, show it. Credit is awarded based on the work provided, and partial credit can be given based on your work. 1] [4 points] The following table shows the speed {mph} of a random sample ofvehicles traveling on l-84 {speeds were measured at milepost 45}. Miles per Hour Frequency Less than 65 4 65.0 69.9 13 70.0 74.9 22 75 .0 79.9 18 80 or more 9 total 66 a. Based on the above frequencies, if one vehicle is randomly selected, what is the probability this vehicle is traveling at a speed between 70.0 74.9 mph? b. Dene event A: the speed of a random vehicle is less than 75 mph. Calculate PM}. 2) [1 point] If an event ca nnot happen, what value is assigned to its probability? 3] [1 point] For any experiment, what is the sum of all the probabilities in the sample space? 4] [2 points] Which of the following numbers cannot be considered a probability? There may be more than one answer. 1.54 -1.54 0 E 4 0.65 25 bull-h |_|. Page 2 of 3 5] [8 points] In a cookie jar, there are 11 sugar cookies, 6 chocolate chip cookies, and 7 snickerdoodle cookies. You randomly select one cookie from the jar. a. What is the probability you select a chocolate chip cookie? b. What is the probability you do not select a chocolate chip cookie? c. Suppose your friend takes a sugar cookie and eats it. You then randomly select a cookie from the jar. What is the probability you select a sugar cookie? d. Consider the two events: A = you select a sugar cookie B = you select a snickerdoodle cookie For each statement below, select True or False: i. Aand B are complements. True I False ii. Aand B are disjoint. True I False iii. Aand B are independent. True 1 False 6] [12 points] Sampling was done to see how students come to in-person classes and when. The data is below. Morning 24 47 69 1 l 5 156 Total 30 138 108 16 6 298 Find the following probabilities. Write your results as a percent rounded to two decimals, like 23 .4596. Page 3 of 3 a. P(Evening) b. P(Car | Evening) c. P(Car and Evening) d. P(Evening | Car) e. P(Car or Bus) f. P(Bus or Morning)