x. (19.05) A government sample survey plans to measure the blood cholesterol level of an SRS of men aged 20 to 34. Suppose that in fact the blood cholesterol level of all men aged 20 to 34 follows the Normal distribution with mean u = 186 milligrams per deciliter (mg/dl) and standard deviation 5 = 41 mg/dl. Use Table A for the following questions, where necessary. Step 1: Choose an SRS of 100 men from this_popu|ation. What is the sampling distribution of x? (Use the units of mg/dl.) O The N(186, 4.1) distribution. The N(186, 41) distribution. 0 The N(1.86, 0.41) distribution. 0 The N(186, 0.41) distribution. Step 2: _ What is the probability that_x takes a value between 183 and 189 mg/dl? This is the probability that X estimates [.I within i=3 mg/dl. 0 0.6800 0 0.2327 0 0.4654 0 0.5346 Step 3: Choose an SRS of 1000 men from this population. Now what is the probability that X falls within i3 mg/dl of [1? Use Table A and give your answer to 3 decimal places. l