explain the answers please

D 10 5 3 10 Random variables Xi, i = 1, ..., n, are known to be iid Gaussian, but their mean and variance are unknown. The mean is estimated as a sample average of n = 1000 realizations of Xi, and found to be 0.33. Which of the following is true: O The 95% confidence interval cannot be determined from the information provided. The 95% confidence interval for the mean is [0.3016 0.3597]. O The 95% confidence interval for the mean is [0.3518 0.3107]. D 10 % Lifetime of a car is modeled as an exponentially distributed random variable. To estimate the average lifetime of a certain new model of a car, data is collected from 100 past owners. The average calculated from the 100 cars is found to be 150 thousand miles (about 8 years under normal usage). Which of the following is the 97% confidence interval for the average lifetime measured in thousands of miles? (Answers are rounded by cutting off the decimal points.) O [117, 182] [123, 191] O None of the offered answers