Find the value of z such that 09642 of the area lies between

Find the value of z such that 0.9642 of the area lies between z and z

Solution

As 0.9642 lie between them, then the areas outside them is 1-0.9642. By symmetry, then the area to the left of -z is (1-0.9642)/2 = 0.0179.

Thus, using table or technology,

-z = -2.099191761

Thus,

z = 2.099191761 [ANSWER]