Find the value of each variable. Lines that appear tangent are tangent, and the dot is the center. (Answer in the form a=? b=? c
=? d=?)
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Using the normal distribution, the value of z is of z = 1.5.
<h3>Normal Probability Distribution</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
For this problem, considering the symmetry of the normal distribution, the area above the mean is given by:
0.8664/2 = 0.4332.
Hence <u>z has a p-value of 0.5 + 0.4332 = 0.9332</u>, hence the value of z is z = 1.5.
More can be learned about the normal distribution at brainly.com/question/24537145
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