A random sample of size n₁ = 13 is selected from a normal population with a mean of 74 and a standard deviation of 6. A second random sample of size n₂ = 6 is taken from another normal population with mean 70 and standard deviation 10. Let and be the two sample means. Find:
(a) The probability that exceeds 3.
(a) The probability that exceeds 3.