please answer number #6 with the info in the assignment

TIES FROM NORMAL DISTRIBUTIONS October 5. No late subm lab is worth 10 points. This form can be submitted at the end of class. If you do not complete it in class, it is due by Wednesday late submissions will be accepted. The easiest way to submit it virtually is to gmail it, This UCropsL 2' Me In this lab, we will use Desmos to find probabilities. To find a probability using the Desmos graphing calculator, enter normaldist(mean, standard deviation) and use the CDF for the bounds of the area. An upset in sports is when a lower ran MATH 170 each region orlower ranked team (underdog) y the first round of the NCAA Those sixteen NCAA Basketball Tourdog) beats a higher gis a higher ranked team plays Seed 16, Seed 2 plays goisare seeded" or ranked you here are four regions sen (favorite), We Before we look at some famous upsets, let's calculate typical probability 2 plays Seed 15, Send of ranked within the Bed 3 plays seed would the region with a nun FOR 1-16 Scary the teams nat wouldn't be an u 12, Seed 6 plays Seed 11, Seed 7 plays Seed 10, and Seed 8 plays Seed 9. (Notice they all add to 17.) Tennessee's (she seeded. in 19 The table below displays the mean plays Seed 13, Seed 5 plays See 0) 68 points. 389, the Men's West Virginia team (Sood 7) scored of panicult when dys the mean and standard deviation of the winning margin (winning score - a. Using Seed 7 vs. 10 info score) of first-round matchups from 1986 to 2006. Assume for the rest of the lab that the winning points are approximately normally distributed (bell curve). places over, find a z-score for this game. Round your and Sweet 16 Matchup P(x > 16 points) - P(z > _1.265 ) 1.26 = 16-248 84-68= 16 1 vs. 16 Mean winning margin St dev winning margin 10.68 24.56 2 vs. 15 12.24 16.40 3 vs. 14 10.92 b. Let's confirm that the equality above really is an equality. Use Desmos to find P(x > 16 points) by doing 11.03 formaldist(2 48. 10.86) and use CDF from 16 to =. This demonstrates the probability that a Seed 7 team 4 v5. 13 10.63 9.34 beats a Seed 10 team by at least 16 points. Report that probability. 5 vs. 12 11.35 4.76 .107 6 vs. 11 10.13 4.19 7 vs. 10 10.39 C. Try the same calculation using your z-score. This time, use Desmos to find P(z > your answer for 2.48 10.86 problem 3a) by doing normaldist(0,1) and using CDF from your answer to 3a to s. Did you get roughly the 8 vs. 9 -0.56 same probability? 10.95 107 1. In Seed 1 vs. Seed 16 matchups you'll notice that the Seed 1 team wins typically with an mean of . a. Using the table mean and standard deviation for Seed 5 versus Seed 12, find z-scores for -2 and B 24.56 points above Seed 16 and a standard deviation of 12.24 points. How do you interpret the mean points. Round your answer to two decimal places -2-4.76 . above for Seed 8 vs. Seed 9 results for these 21 years? 4.76 10.13 (393 8 - 4.76 The 8 us. 9 seed could go either way, typically a close To. 13 10.13 game in either direction with 8 losing. b. Interpret in a sentence what P(-2