Question

A. What is the probability that z is between 2.68 and -1.66?

b. What is the probability that z > 0.82

c. What is the probability that z < -2.14?

D. What is the probability that z < 3.01?

e. What is the probability that z < 0.17?

F. 0.0026 is the probability that z is below what value?

g. 0.3446 is the probability that z is below what value?

Answer 1

solution

P( 2.68< Z <-1.66 )

= P(Z < -1.66) - P(Z < 2.68)

Using z table,  

= 0.9963- 0.0485

=0.9478

probability=0.9478

(B)

P(z >0.82 ) =1 - P(z <0.82 )

Using z table,
= 1 -0.7939

= 0.2061

probability=0.2061

(C)   

P(z <-2.14 )

Using z table  

=0.0162

probability=0.0162

(D)

P(z <3.01 )

Using z table  

=0.9987

probability=0.9987

(e)

P(z <0.17 )

Using z table  

=0.5675

probability=0.5675

(F)

Using standard normal table,

P(Z < z) = 0.0026

= P(Z < z) = 0.0026

= P(Z <-2.79 ) = 0.0026

z = - 2.79 Using standard normal table,

(g)

Using standard normal table,

P(Z < z) = 0.3446

= P(Z < z) = 0.3446

= P(Z <-0.40 ) = 0.3446  

z = - 0.40 Using standard normal table,