Question

The scores on the lsat are approximately normal with mean of 150.7 and standard deviation of 10.2. Queen's School of Business in Kingston, Ontario requires a minimum lsat score of 157 for admission. What is the probability that a randomly selected person who took the lsat would score above 157?

Answer 1

To calculate the probability that a randomly selected person who took the lsat would score above 157, we need to calculate the z-score and find the corresponding probability using a standard normal distribution table.

Step-by-step explanation:

To calculate the probability that a randomly selected person who took the lsat would score above 157, we need to first calculate the z-score, which measures how many standard deviations above or below the mean a value is.

Using the formula: z = (x - mean) / standard deviation, where x is the value we're interested in, the mean is 150.7, and the standard deviation is 10.2, we can calculate:

z = (157 - 150.7) / 10.2 = 0.6176.

Next, we need to find the probability corresponding to this z-score using a standard normal distribution table. Looking up a z-score of 0.6176 in the table, we find that the probability is approximately 0.7286 or 72.86%.