Question

1. The area under the standard normal that lies to the left of 2.24

2. The area under the standard normal that lies to the left of -1.56

3. The area under the standard normal that lies to the right of 4.2  

4. The area under the standard normal that lies to the right of -1.07  

5. The area under the standard normal that lies between 1.48 and 2.72  

Answer 1

solution

(A)

P(z < 2.24)

Using z table  

=0.9875

area =0.9875

(B)

P(z < -1.56)

Using z table  

=0.0594

area =0.0594

(C)

P(z > 4.2) =1 - P(z <4.2 )

Using z table,
= 1 -1

= 0

area =  0

(D)

P(z >-1.07 ) =1 - P(z < -1.07)

Using z table,
= 1 -0.1423

= 0.8577   

area =08577

(E)

P( 1.48< Z <2.72   )

= P(Z < 2.72  ) - P(Z <1.48 )

Using z table,  

= 0.9967-0.9306

area=0.0661