If one score is randomly selected from a normal distribution with µ = 100 and σ = 20,the probability of obtaining a score between X = 80 and X = 120 is p = 0.3413.

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Quizplus · Accepted Answer

The probability of obtaining a score between X = 80 and X = 120 in a normal distribution with µ = 100 and σ = 20 actually encompasses approximately 68.27% of the distribution, not 0.3413. This is because scores within one standard deviation from the mean (µ ± σ) cover about 68.27% of the distribution in a normal curve.

If One Score Is Randomly Selected from a Normal Distribution