PROBABILITY & STATISTICSSECTIONS 5 .1 – 5 .3

Normal Distributions Review

For the normal curve, find the z-score that corresponds to the third quartile.

.67

According to the Emperical Rule, in the bell-shaped distribution, what percent of the data is within one standard deviation of the mean? 68

Find the area of the shaded region under the standard normal curve if z = -1.2

.1151

z

Find the area of the shaded region under the standard normal curve if z = 1.75

.0401

Scores for a civil service exam are normally distributed, with a mean of 75 and a standard deviation of 6.5. To be eligible for employment, you must score in the top 5%. What is the lowest score you can earn and still be eligible for employment?

(round answer to nearest hundredth)85.69