A random sample of size 25 is taken from a normal population having a mean of 80 and a sample standard deviation of 5. A second random sample of size 36 is taken from a different normal population having a mean of 75 and a sample standard deviation of 3. Find the probability that the sample mean, (X-bar), computed from 25 measurements will exceed the sample mean, (Y-bar), computed from 36 measurements, by at least 3.4 but less than 5.9.