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Probability Quiz: Normal Probability Distributions 38 possible points Name: 5.1 to 5.3 Assessment. Complete each problem to the best of your ability. Show all work when necessary. In Exercises 1 and 2, use the normal curve to estimate the mean and standard deviation. 1. 2. 10 15 20 25 40 45 50 55 60 65 70 75 Mean = S.D= Mean = S.D= In exercises 3-6, find the indicated area under the standard normal curve. 3. To the left of z = 0.33 4. To the left of z = -1.95 5. To the right of z = -0.57 6. Between z = -1.55 and z = 1.04 In exercises 7 and 8, use the following information. The scores for the science reasoning portion of the ACT tests are normally distributed. In a recent year, the mean test score was 20.9 and the standard deviation was 5.2. The test scores of four students selected at random are 17, 29, 8, and 23. 7. Find the z-scores that correspond to each value. 8. Determine whether any of the values are unusual? In exercises 9-12, find the indicated probability using the standard normal distribution. 9. P(z -0.74)