Question

In each case, determine the value of the constant c that makes the probability statement correct. (Round your answers to two decimal places.)

(a) Φ(c) = 0.9842 (

b) P(0 ≤ Z ≤ c) = 0.3051

(c) P(c ≤ Z) = 0.1170 (

d) P(−c ≤ Z ≤ c) = 0.6680 (

e) P(c ≤ |Z|) = 0.0160

Answer 1

a) ¢(c)= 0.9842 from standard normal tables c=2.15 i.e., ¢(2.12)= 0.9842

B). P(0<Z<c) = 0.3051 here the value c = 0.86

i.e., p(0<Z<0.86)= 0.3051

C). P(c<Z) = 0.1170. Here the value. C= 1.19

i.e.,. P(1.19<z)= 0.1170

D). P(-c<z<c) = 0.6680 here the value c = 0.97

i.e.,. P(-0.97<z<0.97) = 0.6680

E). P(c<|Z|)=0.0160. Here the value c =2.41

i.e., P(c<|Z|)=0.0160