The overhead reach distances of adult females are normally distributed with a mean of 197.5cm and a standard deviation of 8.3 cm . a. Find the probability that an individual distance is greater than 210.90 cm.
b. Find the probability that the mean for 15 randomly selected distances is greater than 195.30 cm.
c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

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answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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