Normal Distribution Calculations Gateway Exam D Version 1 Math 150 Name: Date: Instructor: 1. (1 point) On the standard normal distribution N(0,1), draw a picture of the region whose area is P(-.5 s z s 2) and compute the probability using your graphing calculator. Be sure to label the normal distribution with its mean and standard deviation. 2. (1 point) Find the z-score Z that bounds the upper 25% of the data in the standard normal distribution N(0,1). Sketch a picture that captures the computation you are asked to do. Label the normal distribution with its mean and standard deviation. 3. (2 points) On the normal distribution N(60, 15), compute P(x 2 50). Sketch a picture that captures the computation you are asked to do. Label the normal distribution with its mean and standard deviation.4. (2 points) On the normal distribution N(-10, 30), compute P(x S -25). Sketch a picture that captures the computation you are asked to do. Label the normal distribution with its mean and standard deviation. 5. (2 points) On the normal distribution N(10.7, 0.18), compute P(10.5 s x S 10.8). Sketch a picture that captures the computation you are asked to do. Label the normal distribution with its mean and standard deviation. 6. (2 points) Find the X,werbo and Xupperbound that captures the middle 80% of the data in the normal distribution N(100,25). Sketch a picture that captures the computation you are asked to do. Label the normal distribution with its mean and standard deviation