Question

Find the following probabilities. (Round your answers to four decimal places.)

(a)    p(0 < z < 1.63)


(b)    p(1.40 < z < 1.83)


(c)    p(−0.36 < z < 1.55)


(d)    p(z < −1.92)


(e)    p(−1.34 < z < −0.86)


(f)    p(z < 1.27)

Answer 1

solution

p(0 < z < 1.63)

= P(Z <1.63 ) - P(Z <0 )

Using z table,  

= 0.9484 -0.5   

probability=0.4484

(B) p(1.40 < z < 1.83)

P(Z <1.83 ) - P(Z <1.40 )

Using z table,  

= 0.9664- 0.9192

probability=0.0472

(C) p(−0.36 < z < 1.55)

P(Z <1.55 ) - P(Z <-0.36 )

Using z table,  

=0.9394- 0.3594

probability=0.5800

(D) p(z < −1.92)=0.0274

probability=0.0274

(E)p(−1.34 < z < −0.86)

P(Z <-0.86) - P(Z <-1.34)

Using z table,  

=0.1949- 0.0901

probability=0.1048

(F)p(z < 1.27)=0.8980

probability=0.8980