SOLUTION: Assume that the random variable X is normally distributed with a mean of 70 and a standard deviation of 12. Find the 24th percentile of X
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Question 974621: Assume that the random variable X is normally distributed with a mean of 70 and a standard deviation of 12. Find the 24th percentile of X Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! Since 50% of the area under the normal curve is below the mean, we want the z-score associated with 24% or 0.2400. From a normal curve table, this is a z-score of approximately -0.7, or 0.7 standard deviations below the mean.
12 * -0.7 = −8.4 = −8.4 points below the mean.
The value you are looking for is 70 - 8.4 = 61.6
