Answer:
The person must score at least , in which Z has a p-value of , considering p the upper percentage the person must score, is the mean IQ score for the population and is the standard deviation.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
Mean , standard deviation
What score must a person have to qualify for Mensa?
Score of at least X, given by:
In which Z has a p-value of , considering p the upper percentage the person must score.