Question

FIND THE TOTAL AREA UNDER THE CURVE FOR THE FOLLOWING:A. TO THE LEFT OF Z=2.26B. TO THE RIGHT OF Z= -1.82C. BETWEEN Z= -1.35 AN Z= 0.37

Answer 1

Part A:

According to the normal table, the area to the left of Z = 2.26 is A(Z <= 2.26) = 0.5 + 0.4881 = 0.9881

Part B:

According to the normal table, the area to the right of Z = -1.82 is given by A( Z >= -1.82) = 0.5 + 0.4656 = 0.9656

Part C:

According to the normal table, the area to the left of Z = 0.37 is given by A(Z <= 0.37) = 0.5 + 0.1443 = 0.6443, and the area on the left of Z = -1.35 is given by A(Z <= -1.35) = 0.5 - 0.4115 = 0.0885.

Therefore, we have: A(-1.35 <= Z <= 0.37) = 0.6443 - 0.0885 = 0.5558