Standard Normal Distribution and Probability Calculations

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Standard Normal Distribution and Probability Calculations Question 1. 1. Find the standardized variable z if x has Mean 12 and standard deviation 4. (Points : 1) Z = (x - 4)/12 Z = (12 - x)/4 z = (x - 12)/4 Z = (x+12)/4 Question 2. 2. Find the area under the standard normal curve to the right of z = 1.55. Round to four decimal places. (Points : 1) .9394 .9505 .0606 .0485 Question 3. 3. Find the area under the standard normal curve to the left of z = 2.63 (Points : 1) .0043 .0102 .9957 .9959 Question 4. 4. Find the area under the standard normal curve over the interval z = −0.44 to z = 0.44. Compute probabilities using the standard normal table in Appendix B (Table 3). Round the answer to four decimal places. (Points : 1) 0.3300 0.3400 0.3 500 0.3600 Question 5. 5. Scores on a certain nationwide college entrance examination follow a normal distribution with a mean of 550 and a standard deviation of 100. Find the probability that a student will score over 680. Round your answer to four decimal places. (Points : 1) 0.1587
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