Question: Public Health and Nutrition The U.S. Food & Drug Administration regulates the use of certain terms used on food labels-for example, reduced fat, low fat, and light. Lean meat must contain less than 4.5 grams of saturated fat per serving.4 Suppose the probability distribution for the amount of saturated fat in a randomly selected serving of lean meat is given in the table below.
a. Suppose two servings of lean meat are selected at random. Find the exact probability distribution for the sample median amount of saturated fat, X¯.
b. Find the mean, variance, and standard deviation of X¯.