Question

VSC Open the normal table (opens in a new window) and use it to answer the following questions. 1. As the 2-scores go up in value, from -3.49 to 3.49, what do you notice about the about the areas? The areas get larger • as the Z-scores increase. 2. What is the area to the left of z = 0? Area - 0.50 3. If the total area under the curve is equal to 1, what is the area to the right of z = 0? Area = 0.5 (Click to view hint) 4. What is the area to the left of 2 = -0.25? Area = 0.5987 5. What is the probability that z is less than -0.25? P(Z < -0.25) = 0.5987 (Click to view hint) 6. What is the area to the right of 2 = -0.25? Area (Click to view hint) 7. What is the probability that z is greater than -0.25? P(Z > -0.25) = (Click to view hint) 8. What is the probability that z is less than 0.62? PC: < 0.62) = (Click to view hint) 9. What is the probability that z is greater than 0.62? rooms.net/mod/quattempt.php?attempt 41894108cmid=520199&page=158 MacBook Air 80 FI F2 F4 FS FO FB A * # 3 $ 4 % 5 & 7 2 6 8 9

Answer 1

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1. "Get larger"

Answer: More the Z more will be the cumulative area under the curve

2. Area to the left of Z = 0 is also 0.50

Answer: 0.50

3. To the right of z = 0 is the left half of the curve.

Area = 0.50

4. Area to the left of -0.25 is 0.4013

Answer: 0.4013

5. P(Z<-.25) is 0.4013

Answer: 0.4013

6. Area to the right of z = -.25 is : P(Z>-.25)
= 1-P(Z<=-.25)
= 0.5987

Answer: 0.5987

7. Probability that z is greater than -.25 is P(Z>-.25)
= 1-P(Z<=.25)
= .5987

Answer: 0.5987

8. Probability that z is less than 0.62 is P(Z<.62)
= 0.7324

Answer: 0.7324

9. P(Z>.62)
= 1-P(Z<=0.62)
= 1-.7324
= 0.2676

Answer: 0.2676

10. Probability that z is less than 2.8 is P(Z<2.8)
= 0.9974

Answer: 0.9974

11. Probability that z is greater than 2.8 is P(Z>=2.8)
= 1-P(Z<2.8)
= 1-.9974
= .0026

Answer: 0.0026