CHAPTER 6

Exercises:

1. Find the Z score of the following areas. Sketch the location of the given areas.

a) area to the right of Z is .0885

b) P (- Z Z) = .0080

c) P (- Z Z + Z) .9010

d)The area to the right of - Z and to the right of 0 is .8386.

3.A group of 200 students are candidates for a scholarship. The committee for scholarship asked them to take the IQ test. The students are approximately normally distributed with a mean IQ of 110 and standard deviation of 15. If the committee decided to accept an IQ of at least 95, how many of these students would be rejected?

4.The heights of 500 students from the college of Nutrition/ Home Economics and Tourism are normally distributed with a mean height of 5.7 feet and a standard deviation of 1.9 feet. How many of these NHT students have heights of

a)Less than 5.2 feet

b)More than 5.1 feet but not over 5.5 feet

c)More than 4.9 feet

5.The average rainfall recorded by the PAGASA for the month of June is 4.3 inches assuming that the recorded rainfall has a normal distribution with standard deviation of 1.3 inches. Find the probability that next June PAGASA receives.

a) Less than 1.3 inches

b) More than 2.1 inches but not over 3.5 inches

c) More than 4.9 inches