Find the probabilities that a random variable will take on a value between 10 and 20 given that it has a normal distribution with:

MAT135 Introduction to Statistics and Data Analysis

Module 7 TEST  

Test # 5

Name _______________________________

1.  Find the probabilities that a random variable will take on a value between 10 and 20 given that it has a normal distribution with:

(a)  Mean  = 10 and s = 5

(b)  Mean = 20  and s = 10

2.  Find z if

(a)  the normal curve area between 0 and z is 0.4884

(b)  the normal curve area to the right of z is 0.8665

3.  For each of the cases below, involving areas under the standard normal curve, decide whether the first area is bigger, the second area is bigger, or both areas are equal.

(a)  The area to the left of z = 0, or the area to the right of z = 0.1

 (b)  the area between z = -0.3 and 0.3, or the area between z = -0.5 and 0.5

4.  Find the area under the standard normal curve which lies

 (a)  to the left of 0.47

 b)           to the right of z = -0.06

( c)  to the right of z =  2.53

 (d)  to the left of z = -1.31

 (e)  between  z = 0.72  and z = 1.59

 (f)  between  z =  -0.11  and  z = 2.48