Question

For each of the following probabilities, shape- the area under the standard normal curve corresponding to the probability. Then find the requested probability.

a.) P(z<-0.23)

b.) P(0.17<z<2.1)

c.) P(-0.3< z < 1.35)

d.) P(z > -1.73)

e.) P(-0.17 < z < 1.35)

f.) P(z > 0.67)

Answer 1

solution

(A)P(z <-0.23 )

Using z table  

=0.4090

probability=0.4090

(B)

P( 0.17< Z < 2.1)

= P(Z < 2.1) - P(Z <0.17 )

Using z table,  

=0.9821 - 0.5675  

=0.4146

probability=0.4146

(C)

( -0.3< Z < 1.35)

= P(Z < 1.35) - P(Z -0.3 )

Using z table,  

=0.9115 - 0.3821

=0.5294

probability=0.5294

(D)

P(z > -1.73) =1 - P(z <-1.73 )

Using z table,
= 1 -0.0418

= 0.9582

(e) P(-0.17 < z < 1.35)

P(Z < 1.35) - P(Z <-0.17 )

Using z table,  

=0.9115 - 0.4325

=0.4790

probability=0.4790

(f)

P(z > 0.67) =1 - P(z <0.67 )

Using z table,
= 1 -0.7486

= 0.2514