Question
Asked Nov 3, 2019
Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15
0.0808
х
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Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 0.0808 х

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Expert Answer

Step 1

From the given data, normally distributed with mean (μ) =100 and standard deviation (σ) =15

And, also given area under the curve 0.0808.

Step 2

Let’s find ‘x’ va...

P(X>x)0.0808 (since, the graph to the right depicts)
1-P(Xx) 0.0808
х-100
х-и
1-P
-0.0808
15
х-100
=1-0.0808-0.9192
15
X-и
Р
(From the standard normal distribution table
for 0.9192 probability z-value is 1.4
х-100
Therefore
= 1.4
15
x (1.4x15)+100=121
. x=121
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P(X>x)0.0808 (since, the graph to the right depicts) 1-P(Xx) 0.0808 х-100 х-и 1-P -0.0808 15 х-100 =1-0.0808-0.9192 15 X-и Р (From the standard normal distribution table for 0.9192 probability z-value is 1.4 х-100 Therefore = 1.4 15 x (1.4x15)+100=121 . x=121

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