A random sample of size n, = 15 is selected from a normal population with a mean of 76 and a standard deviation of 7. A second random sample of size n, = 8 is taken from another normal population with...

Extracted text: A random sample of size n, = 15 is selected from a normal population with a mean of 76 and a standard deviation of 7. A second random sample of size n, = 8 is taken from another normal population with mean 69 and standard deviation 10. Let X and X2 be the two sample means. Find: (a) The probability that X1 - X2 exceeds 3. (b) The probability that 4.2 < x="" -="" x,="">< 5.3.="" round="" your="" answers="" to="" two="" decimal="" places="" (e.g.="" 98.76).="" (a)="">