Question

Please show how I would find this answer on a calculator also.

1. For a standard normal distribution, find:

P(z > -1.73)

2. For a standard normal distribution, find:

P(1.98 < z < 2.09)

3. For a standard normal distribution, given:

P(z < c) = 0.6648

Find c.

Thank you

Answer 1

Solution :
1 ) P(Z > - 1.73 )

= 1 - P(Z < -1.73)
Using standard normal table  
To see the z value - 0.1 in the column and 0.73 in the row of the standard normal table the corresponding probability is

1 - 0.0418

= 0.9582

Probability =0.9582

2 ) P(1.98 < z < 2.09)

= p ( z < 2.09 ) - p (z < 1.98 )

Using standard normal table

= 0.9817 - 0.9761

= 0.0056

Probability = 0.0056

3 ) P(z < c) = 0.6648

P(Z < c) =0.6648
To see the probability in the standard normal table the corresponding c value is ,
c value = 0.43

c = 0.43