Answer the following word problems on normal distribution. Alex really likes to play video games in his spare time. Let's say that Alex's average score is 17.5 with a standard deviation of 2. Answer the following questions assuming Alex's score is normally distributed. Remember that normal distribution is continuous. 21. What is the probability that Alex scores exactly 15? A) normalpdf(15, 17.5, 2) = 0.0913 B) normalcdf(14.5, 15.5, 17.5, 2) = 0.0918 C) 0.68 D) 0.95 E) 0 22. What is the probability that Alex scores at most 20? A) normalcdf(-1099, 19, 17.5, 2) = 0.7734 B) normalcdf(-1099, 20, 17.5, 2) = 0.8944 C) invnorm(20, 17.5, 2) D) 1.25 23. What is the probability that Alex scores 15 rounded to the nearest whole number? A) O B) normalpdf(15, 17.5, 2) = 0.0913 C) normalcdf(14.5, 15.5, 17.5, 2) = 0.0918 D) invnorm(15, 17.5, 2) E) None of the above 24. What value represents the cutoff for top 25% of Alex's score? A) normalcdf(0.25, 1099, 17.5, 2) = 1 B) invnorm(0.375, 17.5, 2) = 16.86, invnorm (0.625, 17.5, 2) = 18.14 C) invnorm (0.25, 17.5, 2) = 16.15 D) invnorm(0.75, 17.5, 2) = 18.85 25. What is the z-score that is equivalent to scoring 25? A) 0 B) 3.75 C) 7.5 26. What is the value that is equivalent to a z-score of -1.5? A) -14.5 B) 14.5 C) normalcdf(-1.5, 1099, 17.5, 2) = 1 D) invnorm(-1.5, 17.5, 2) E) It is impossible to have a negative z-score