Choose a number x at random from the set of numbers {1,2,3,4,5}. now choose a number at random from the subset no larger than x, that is, from {1, . . , x}. call this second number y. (a) find the joint mass function of x and y. (b) find the conditional mass function of x given that y = i. do it for i = 1, 2, 3, 4, 5. (c) are x and y independent? why?

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?