f (x) x=0,1,2,3 Define the following probability function the value of the expectaion E(X-1) is 1 2 1 8. 1 0 2 0

0.15 0.4 0.25 A B (i) Calculate the conditional probability that A occurs, given that B has occured. (ii) Calculate P(A'/B)

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) = 0.9850     (b) P(0 ≤ Z ≤ c) = 0.2995     (c) P(c ≤ Z) = 0.1314     (d) P(−c ≤ Z ≤ c) = 0.6528     (e) P(c ≤ |Z|) = 0.0128     You may need to use the appropriate table in the Appendix of Tables to answer this question.