Homework Assignment 13 . In reviewing for section 3 of your final examination, do the following z- score calculation and plotting item utilizing the given completed answer for variance and standard deviation (section 2) for the ACTprepared analysis dataset. Homework Assignment 13 VARIANCE AND STANDARD DEVIATION CALCULATIONS TABLE FOR ACT PREPARED ANALYSIS (WESTAT, 2019) X PTS . ( X - X) - 7) younoooon 65605656 66 6565 2+101000 - - - OOO AWWUP NNNNNNNNN TOWN UNNNNNNNNNNT N WN - - - 29 063 2 364 POINTS 259.008 D X = EX = 364= 22.750 POINTS 14 (2 55 E = Y(X-X) 2 = 259. 008 POINTS (3 52 = 2 (X- X) _ 259.008 - 17. 267 POINTS (17.267) - 1 15 4 5 = jsz = /17. 267 = 4. 155 POINTS Key must be included.Homework Assignment 13 . Now it is time to do some relative analysis using Z scores with the assumption of a normal distribution curve. Use the analysis products from the previous answer to provide the information necessary for the following Z scores. Do not forget to plot these Z scores and calculation products on a fully labeled, normal distribution curve. Full sentence answers required. 195 Homework Assignment 13 a) Calculate and graph the total percentage outside the percentage between Z26 and Z28: b) Calculate and graph the total proportion of crit Z17 and crit Z24: c) Calculate and graph the total percentage between Z19 and Z22:Question 4: Compute the following probabili based on the given information. Do not forget to show your work and provide complete sentence answers. Required format: p = #.#### and ##.##%. Compute the following probabilities GIVEN: Box of marbles that includes 20 white marbles, 25 black marbles, 30 red marbles, 35 green marbles and 40 blue marbles. a. Calculate the probability of choosing a green marble then a red marble then a green marble then a red marble with replacement of green marbles only. b. Calculate the probability of choosing a white marble then a red marble then a white marble then a black marble without replacement. c. Calculate the probability of choosing a black marble then a white marble then a black marble then a green marble without replacement. d. Calculate the probability of choosing a green marble or a red marble. e. Calculate the probability of choosing a red marble then a red marble or a blue marble then a blue marble without replacement