How do you find probabilities using the standard normal distribution

Question

P(-2.46<z<1.74)

Answer 1

If the z table values are based on standard normal distribution between mean and values of z

 

Then P(z=1.74)          =0.4591

        P(z=-2.46)         =0.4931

        P(-2.46<z<1.74)=0.9522

Answer 2

Take a look at this diagram:

 

https://www.wyzant.com/resources/files/393118/z_curve_or_t_curve/download?encryptedID=FVqqZj7PGMQ%3D&d=v

 

and this table

 

https://www.wyzant.com/resources/files/392716/normal_dist_table/download?encryptedID=uMpgXg5183c%3D&d=v

 

You would look up the z values -2.46 (really looking up 2.46) and 1.74 in the table. Those values are the area under the curve to the left and right of 0 (the x-bar line). 

 

Adding these areas gives the answer to your probability.

 

 

Need more help comment back.

Answer 3

Look up in the z table, P(z=-2.46) = 0.0069, and p(z=1.74) = 0.9591.  P(-2.46<z<1.74) = P(z=1.74)-P(z=-2.46) = 0.9522