298 Chapter 7 The Normal Distribution Area = 0.67 Area = 0.24 2.0 2.5 3.0 3.5 4.0 a. Find the proportion of seniors whose GPA is between 3.0 and 3.5. 0.24 b. What is the probability that a randomly chosen senior will have a GPA greater than 3.5? 0.09 21. Find each of the shaded areas under the standard normal curve. a. 1.25 0.8944 b. 0.36 0.3594 c. −0.71 1.62 0.7085 d. −0.28 0.94 0.5633 22. Find each of the shaded areas under the standard normal curve. a. −0.38 0.3520 b. −0.48 0.6844 c. −2.48 −0.58 0.2744 d. −0.33 2.18 0.3853 23. Find the area under the standard normal curve to the left of a. z = 0.74 0.7704 b. z = −2.16 0.0154 c. z = 1.02 0.8461 d. z = −0.15 0.4404 24. Find the area under the standard normal curve to the left of a. z = 2.56 0.9948 b. z = 0.53 0.7019 c. z = −0.94 0.1736 d. z = −1.30 0.0968 25. Find the area under the standard normal curve to the right of a. z = −1.55 0.9394 b. z = 0.32 0.3745 c. z = 3.20 0.0007 d. z = −2.39 0.9916 26. Find the area under the standard normal curve to the right of a. z = 0.47 0.3192 b. z = −2.91 0.9982 c. z = 2.04 0.0207 d. z = 1.09 0.1379 27. Find the area under the standard normal curve that lies between a. z = −0.75 and z = 1.70 0.7288 b. z = −2.30 and z = 1.08 0.8492 c. z = −3.27 and z = −1.44 0.0744 d. z = 1.26 and z = 2.32 0.0936 28. Find the area under the standard normal curve that lies between a. z = −1.28 and z = 1.36 0.8128 b. z = −0.82 and z = −0.42 0.1311 c. z = 1.58 and z = 2.06 0.0374 d. z = −2.19 and z = 0.07 0.5136 29. Find the area under the standard normal curve that lies outside the interval between a. z = −0.38 and z = 1.02 0.5059 b. z = −1.42 and z = 1.78 0.1153 c. z = 0.01 and z = 2.67 0.5078 d. z = −2.45 and z = −0.34 0.6402 30. Find the area under the standard normal curve that lies outside the interval between a. z = −1.11 and z = 3.21 0.1342 b. z = −1.93 and z = 0.59 0.3044 c. z = 0.46 and z = 1.75 0.7173 d. z = −2.73 and z = −1.39 0.9209 31. Find the z-score for which the area to its left is 0.54. 0.10 32. Find the z-score for which the area to its left is 0.13. −1.13 33. Find the z-score for which the area to its left is 0.93. 1.48 34. Find the z-score for which the area to its left is 0.25. −0.67 35. Find the z-score for which the area to its right is 0.84. −0.99 36. Find the z-score for which the area to its right is 0.14. 1.08
navidi_monk_elementary_statistics_2e_ch7-9
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