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sesenic [268]
2 years ago
10

Suppose that IQ scores have a bell-shaped distribution with a mean of 101 and a standard deviation of 12. Using the empirical ru

le, what percentage of IQ scores are between 77 and 125?
SAT
1 answer:
7nadin3 [17]2 years ago
3 0

95.44% IQ scores are between 77 and 125

We're given,

Mean (a)=101

standard deviation (b)=12

To find : P[77 < x < 125]

Using Empirical Rule:

∴ P[77 < x < 125]  = P[\frac{77-101}{12} < \frac{x-a}{b} < \frac{125-101}{12}]\\

=P[-2 < z < 2]\\

=P[Z < 2]-P[Z < -2]\\

=0.9772-0.0228\\

=0.9544 =95.44% (approx)

Learn more about Empirical rule of IQ calculation here:

brainly.com/question/13077017

#SPJ10

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