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??. Document1-Word Sign in Home Insert Design Layout References Mailings Review View Help X?|Calibri (Body) ,111 ste Styles Editing Dictate board Font Paragraph Styles Voice 1. Find the area of the shaded region where a - -1.83 and b- 1.87. 2. Find the area of the shaded region where a -0.96. 3. Find the z-score for which the area to its left is 0.46 4. Find the z-score for which the area to its right is 0.71. 5. The z-scores that bound the middle 34 % under the standard normal curve are -a and z , Find the value of a. 6. Find the z-score for which the area to its right is 0.69. The z-scores that bound the middle 52 % under the standard normal curve are z--a and z-a. Find the value of a. 7, 8. Find the z-score for which the area to its left is 0.70. 9. Find z 0.56. 10. Find the area of the shaded region where a -1.20. 100% Page 1 of 1 150 words 7:44 PM 4x 6/13/2018

Explanation / Answer

1) P(-1.83 < Z < 1.87)

= P(Z < 1.87) - P(Z < -1.83)

= 0.9693 - 0.0336

= 0.9357

2) P(Z < -0.96)

= 0.1685

3) P(Z < z) = 0.46

or, z = -0.10

4) P(Z > z) = 0.71

or, 1 - P(Z < z) = 0.71

or, P(Z < z) = 0.29

or, z = -0.55

5) P(-z < Z < z) = 0.34

or, P(Z < z) - P(Z < -z) = 0.34

or, P(Z < z) - (1 - P(Z < z)) = 0.34

or, P(Z < z) - 1 + P(Z < z) = 0.34

or, 2P(Z < z) = 1.34

or, P(Z < z) = 0.67

or, z = 0.44

or, (a - 0)/1 = 0.44

or, a = 0.44

6) P(Z > z) = 0.69

or, 1 - P(Z < z) = 0.69

or, P(Z < z) = 0.31

or, z = -0.50

7) P(-z < Z < z) = 0.52

or, P(Z < z) - P(Z < -z) = 0.52

or, P(Z < z) - (1 - P(Z < z)) = 0.52

or, P(Z < z) - 1 + P(Z < z) = 0.52

or, 2P(Z < z) = 1.52

or, P(Z < z) = 0.76

or, z = 0.71

or, (a - 0)/1 = 0.71

or, a = 0.71

8) P(Z < z) = 0.70

or, z = 0.52

9) P(Z < 0.56) = 0.7123

10) P(Z < -1.20) = 0.1151

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