I know 0.0228 and 0.0668 is looked in z-table .I want to ask how can i get (0.5 - 0.0228) + (0.5 - 0.0668) ? Can you show me in a diagram about the process of calculating the Prob(mean - 2*? < X < mean + 1.5*?)?

Assume that a random variable follows a normal distribution with a mean of 80 and a standard deviation of 24. What percentage of this distribution is not between 32 and 116? 66. a. b. c. d. 4.56% 8.96% 13.36% 18.15% Answer: B Explanation: Prob(mean-2"O < X < mean + 1.5*0)-(0.5-0.0228) + (0.5-0.0668) = 0.9104 Prob(mean-2* > x or X > mean + 1.5) = 1-Prob(mean-2* < x < mean+1.5*o)-0.0896