Random variables!!!!!!!!!!!!!!!!!!!!
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Random variables!!!!!!!!!!!!!!!!!!!!

[From: ] [author: ] [Date: 12-06-21] [Hit: ]
75 indicates the required proportion.Required proportion = 0.2734 (area between z=-0.75 and the mean) + 0.= 0.7734 or 77.......
Suppose the scores on an exam are normally distributed with mean μ = 75 points, and standard deviation σ = 8 points.

The instructor wanted to "pass" anyone who scored above 69. What proportion of exams will have passing scores?

-
z = (X-Mu)/SD
z value corresponding to X=69 is
z = (69-75)/8 = - 0.75
The area under the standard normal curve right to z = - 0.75 indicates the required proportion.
Required proportion = 0.2734 (area between z=-0.75 and the mean) + 0.5000 (total area on the right side of the mean)
= 0.7734 or 77.34%
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