2. Average lives of televisions from two different manufacturers (A and B) are to be com- pared. From past data, it is known that average lives of these televisions are A = 34 months and = 30 months, and the standard deviations are = 3 and 4. Random samples from each of these two manufacturers are selected. Find the probability that the sample mean of 100 televisions from manufacturer A will be at least 5 months more than the sample mean of 100 televisions from manufacturer B. [In other words, find P(XA-XB>5). particular route.