Question
What is the probability that an IQ score is greater than 120 ?
0.1509
0.8491
0.0912
0.9088
0.1509
0.8491
0.0912
0.9088
Ask by Maxwell Ortega. in the United States
Mar 15,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The probability that an IQ score is greater than 120 is approximately 0.0912.
Solution
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Extra Insights
To find the probability that an IQ score is greater than 120, we refer to the standard normal distribution, where the mean IQ is typically 100 and the standard deviation is 15. An IQ of 120 corresponds to a z-score of 1.33. Using z-tables or calculators, we find that the probability of scoring below 120 is approximately 0.9088. Therefore, the probability of scoring above 120 is 1 - 0.9088 = 0.0912.
So, the correct answer is 0.0912! It’s like finding a hidden gem in a treasure chest—knowing how to interpret the bell curve can lead to delightful discoveries about data!
When interpreting probabilities, remember the usual skewness of IQ distributions—most people score around the average, but it’s the outliers that tell a compelling story. A mistake to avoid? Misreading z-scores or relying on rough estimation instead of precise lookup values can really throw off your calculations. Always double-check your computations to ensure you’re on the right track!
