Example 6.27 described a study in which a person was asked to determine which of three t-shirts had been worn by her roommate by smelling the shirts.† Suppose that instead of three shirts, each participant was asked to choose among five shirts and that the process was performed 5 times. If a person can't identify her roommate by smell and is just picking a shirt at random, then x = number of correct identifications is a binomial random variable with n = 5 and p = 1 5 . A button hyperlink to the SALT program that reads: Use SALT. (a) What are the possible values of x? (Enter your answers as a comma-separated list.) (b) For each possible value of x, find the associated probability p(x) and display the possible x values and p(x) values in a table. (Hint: See Example 6.27. Use a table or SALT. The values of x should be entered from least to greatest. Round your probabilities to three decimal places.) x p(x) (c) Construct a histogram displaying the probability distribution of x. The histogram has 6 rectangles of equal width. The horizontal axis is labeled "x." The vertical axis is labeled "p(x)." The points on the horizontal axis that the rectangles are centered at and the heights of the rectangles are as follows: 0: near 0 units tall 1: 94737827098856.00 unit tall 2: 94737813462056.00 unit tall 3: 94737813461528.00 unit tall 4: 94737813462848.00 unit tall 5: 94737813462824.00 unit tall The histogram has 6 rectangles of equal width. The horizontal axis is labeled "x." The vertical axis is labeled "p(x)." The points on the horizontal axis that the rectangles are centered at and the heights of the rectangles are as follows: 0: 94737813462824.00 unit tall 1: 94737813462848.00 unit tall 2: 94737813461528.00 unit tall 3: 94737813462056.00 unit tall 4: 94737827098856.00 unit tall 5: near 0 units tall The histogram has 6 rectangles of equal width. The horizontal axis is labeled "x." The vertical axis is labeled "p(x)." The points on the horizontal axis that the rectangles are centered at and the heights of the