Please answer the questions below and show your work. So I can get a better understanding

1. Consider N(50, 8); a normal distribution with mean 50 and Standard Deviation 8. Make a sketch for each problem. a) P( x < 40 ) b) P( x > 55 ) c) P( 40 < x < 55 ) 2. Make a sketch for each problem and round to 3-decimal places. a) Find Z/2 for a 96% confidence interval. b) Find the Z score that separates the top 10% c) Find the Z score for the third Quartile. d) Find the Z scores that separate the middle 80%.