The Law School Admission Test (LSAT) is a standardized exam issued four times a
ID: 3050535 • Letter: T
Question
The Law School Admission Test (LSAT) is a standardized exam issued four times a year for prospective law school candidates. The test is designed to assess a candidate in reading comprehension, as well as in their logical and verbal reasoning. The scores are adjusted to form a normal distribution with most scores falling in the 120 and 180 range, with a mean of 151 and a standard deviation of 9.5.
If a candidate who wrote the exam were selected at random, what is the probability that (all worth 0.5 points except 1-4 which is worth 1 point):
Q1-1: They achieved a score that was less than 135 on the LSAT?
Q1-2: They achieved a score that was more than 170 on the LSAT?
Q1-3: They achieved an LSAT score that was at least 10 points above the population mean? Q1-4: They achieved a score that was between 139 and 174 on the LSAT? [1]
Q1-5: They achieved a score that was within 1.5 standard deviations of the population mean?
Explanation / Answer
1)
a score that was less than 135 on the LSAT:
2)a score that was more than 170 on the LSAT
3)
LSAT score that was at least 10 points above the population mean:
4)
5)
for normal distribution z score =(X-)/ here mean= = 151.000 std deviation == 9.5Related Questions
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