3. A report announced that the median sales price of new houses sold one year was $231,000, and the mean sales price was $275,000. Assume that the standard deviation of the prices is $100,000. Complete parts (a) through (d) below. (a) If you select samples of n = 2, describe the shape of the sampling distribution of X. Choose the correct answer below. O A. The sampling distribution will be approximately uniform. O B. The sampling distribution is skewed to the right, but less skewed to the right than the population. O C. The sampling distribution will depend on the specific sample and will not have a constant shape. O D. The sampling distribution will be approximately normal. (b) If you select samples of n = 100, describe the shape of the sampling distribution of X. Choose the correct answer below. O A. The sampling distribution is skewed to the right, but lessed skew to the right than the population. O B. The sampling distribution will be approximately uniform. O C. The sampling distribution will depend on the specific sample and will not have a constant shape. O D. The sampling distribution will be approximately normal. (c) If you select a random sample of n = 100, what is the probability that the sample mean will be less than $290,000? The probability that the sample mean will be less than $290,000 is (Round to four decimal places as needed.) (d) If you select a random sample of n = 100, what is the probability that the sample mean will be between $275,000 and $285,000? The probability that the sample mean will be be between $275,000 and $285,000 is (Round to four decimal places as needed.)