Given a standard normal distribution, find the area under the curve that lies (a) to the left of z = −1.39; (b) to the right of z = 1.96; (c) between z = −2.16 and z = −0.65; (d) to the left of z = 1.43; (e) to the right of z = −0.89; (f) between z = −0.48 and z = 1.74.

Complete Question

Given a standard normal distribution, find the area under the curve that lies

(a) to the left of z = −1.39;

(b) to the right of z = 1.96;

(c) between z = −2.16 and z = −0.65;

(d) to the left of z = 1.43;

(e) to the right of z = −0.89;

(f) between z = −0.48 and z = 1.74.

a

b

c

d

e

f

Step-by-step explanation:

Considering a

From the question we are told that

   The  z-score is  z =  -1.39

Generally from the z table the  area under the curve that lies to the left of  z =  -1.39 is  

Considering b

From the question we are told that

   The  z-score is  z = 1.96

Generally from the z table the  area under the curve that lies to the right of  z = 1.96 is  

Considering c

From the question we are told that

   The z-score is  z = −2.16 and z = −0.65

Generally from the z table the  area under the curve that lies between z = −2.16 and z = −0.65;

From the z table the area under  (Z <  -0.64 )   and  ( Z <  -2.16) is  

and

So

=>  

Considering d

From the question we are told that

   The  z-score is  z = 1.45

Generally from the z table the  area under the curve that lies to the left of z = 1.43 is  

Considering e

From the question we are told that

   The  z-score is  z = -0.48

Generally from the z table the  area under the curve that lies to the right of  z = 0.48 is  

Considering f

From the question we are told that

   The z-score is  z = −0.48  and z = 1.74

Generally from the z table the  area under the curve that lies between z = −2.16 and z = −0.65;

From the z table the area under  (Z <  1.74 )   and  ( Z <  -0.48) is  

and

So

=>  

step-by-step explanation:

-3 degrees

step-by-step explanation: