Find the expected value for the probability distribution given below. X 2 3 4 P(X =x) 12 12Lee's score on the first statistics test is 78. Her class average and standard deviation are 68 Choose the Ans and 4, respectively. Lee's friend, Erica who is in a different section of the same course, O Lee's scored 82 on the first test. Erica's class average was 71 and standard deviation 6. Who O Erica's performed better in first statistics test? Copyright @ 2005 - 20$51 8) If random variable X has a normal distribution with mean () = 6 and SD (o) = 1.5. Determine the value missing in the figure. 16 3 4.5 6 7.5 9 10.5 4- 30 1 - 20 H - 0 LL Uto u+ 20 1+ 30 24 a ) O 2.5 b) 0 1.75 c) O 1.5 d) 0 2.0Using the areas in Figure (the Empirical Rule), find the areas between z = 1 and z = 2 Done 0.1359 0.1359 0.3413 0.0215 10.3413 0.0215 -3 -2 -1 7=0 1 2 3Using the areas in Figure (the Empirical Rule), find the areas; (a) To the right of = = 1. 0.1359 0.1359 0.3413 (b) To the right of z = - 1. 0.3413 0.0215 0.0215 Done -3 -2 -1 5=0 1 2