A researcher is studying the difference in mean reaction times between two treatments. If the population distributions are both approximately normal with $$\sigma_1 = 0.15$$ seconds and $$\sigma_2 = 0.20$$ seconds, what is the probability that the difference in sample means ($$\bar{x}_1 - \bar{x}_2$$) will be within 0.05 seconds of the true difference ($$\mu_1 - \mu_2$$) if $$n_1 = 25$$ and $$n_2 = 36$$?