Two independent random samples, of sizes $$n_1 = 36$$ and $$n_2 = 64$$, are selected from two normally distributed populations. The first population has a mean of $$μ_1 = 75$$ and a standard deviation of $$σ_1 = 12$$. The second population has a mean of $$μ_2 = 68$$ and a standard deviation of $$σ_2 = 15$$. What is the probability that the difference between the sample means, ($$\bar{x}_1 - \bar{x}_2$$), is greater than 10?