Based on the definitions of prediction interval and confidence interval, what happens to these intervals as the sample size increases? Answer may more than one.

a. Confidence intervals remain roughly the same width, because the confidence level remains the same. b. Confidence intervals get narrower as we zero in on the true parameter. c. Confidence intervals expand as we gain more and more confidence with larger sample sizes. d. Prediction intervals remain roughly the same width -- after all, we're just getting better and better at estimating the true quantiles making up the boundaries of the prediction interval. e. Prediction intervals get narrower as we zero in on the true future value. f. Prediction intervals expand as we gain more and more confidence with larger sample sizes.