Each problem below describes an experiment and defines a random variable. For each problem: a. Find the distribution of the random variable. b. Calculate the expected value of the random variable. Do not round values. 1. A room has 15 art majors and 10 science majors. Two students are selected randomly (without replacement). Let S be the number of science majors that will be drawn. 2. Roll two fair, six-sided dice. Let X be the (absolute value of the) difference between the numbers they will land on

Use the given degree of confidence and sample data to construct a confidence interval for the population mean mu . assume that the population has a normal distribution. a laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with sequals 17.6 milligrams. a confidence interval of 173.8 mgless than muless than 196.2 mg is constructed for the true mean cholesterol content of all such eggs. it was assumed that the population has a normal distribution. what confidence level does this interval represent?