e) What is the probability of randomly selecting three blue marbles (without replacement)? 5, A random sample of 144 college students is taken from the student body of a large university. Each student estimates the number of days they had been symptomatic after they had tested positive for COVID 19 during the Fall 2021 semester . Assume that the entire population of university students had a mean of 8 days with a standard deviation of 4 days. Given this information, please answer the following questions about the sampling distribution of mean for this sample. (To receive full credit, please make sure you explain how you determined your answers to each of these questions) (5 pts ): a) What would be the shape of the sampling distribution of the mean? b) What would be the mean of the sampling distribution? c) What would be the standard error of the sampling distribution? d) About 68 percent of the sample means in this sampling distribution should be between days and days, e) About 95 percent of the sample means in this sampling distribution should be between