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Answer :
Final answer:
To calculate the probability that the mean score for five randomly selected people who took the LSAT would be above 157, we need to use the concept of the normal distribution.
Explanation:
To calculate the probability that the mean score for five randomly selected people who took the LSAT would be above 157, we need to use the concept of the normal distribution. Since the LSAT scores follow a normal distribution, we can use the z-score formula to calculate the probability.
The formula for the z-score is:
z = (x - μ) / (σ / √n)
Where:
- x is the desired value (157 in this case)
- μ is the mean (mean LSAT score)
- σ is the standard deviation (standard deviation of LSAT scores)
- n is the sample size (5 in this case)
Once we have the z-score, we can look it up in the z-table to find the probability associated with it.
Learn more about Normal Distribution here:
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