Question

mbi Saved Exercise 6-15 Algo Find the following probabilities based on the standard normal variable Z. (You may find it useful to reference the answers to 4 decimal places.) table. Round your Book ferences a. PZ> 1.02) b. PZ S-2.36) C. POSZ S164) d. P(-0.82 Z 52.54)

Answer 1

Solution

Given that,

Using standard normal table

a ) P ( Z > 1.02 )

1 - P ( Z < 1.02 )

= 1 - 0.8461

= 0.1539

Probability = 0.1539

b ) P ( Z  $\leq$ - 2.36 )

= 0.0091

Probability = 0.0091

c ) P ( 0 $\leq$ Z $\leq$ 1.64 )

P ( Z $\leq$ 1.64 ) - P ( Z $\leq$   0 )

= 0.9495 - 0.5000

= 0.4495

Probability = 0.4495

d ) P ( -0.82 $\leq$ Z $\leq$ 2.54 )

P ( Z $\leq$ 2.54 ) - P ( Z $\leq$   -0.82 )

= 0.9945 - 0.2061

= 0.7884

Probability = 0.7884