Question

for a standard normal variable z, find the area between z = 1.43 and z = 3.04 to four decimal places.

Answer 1

area between z = 1.43 and z = 3.04 is the area for z = 3.04 minus the area for z = 1.43

using z distribution table,checking 1.4 in the first left column and 0.03 in the first row, selecting the intersecting cell, we get

area for z = 1.43 as 0.9236

Similarly,

using z distribution table,checking 3.0 in the first left column and 0.04 in the first row, selecting the intersecting cell, we get

area for z = 3.04 as 0.9988

Therefore, area between z = 1.43 and z = 3.04 is 0.9988-0.9236 = 0.0752 (rounded to 4 decimals)