An article considered the use of a uniform distribution with a = 0.20 and b = 4.25 for the diameter x of a certain type of weld (mm). (a) determine the pdf of x. (round your answers to three decimal places.) (b) what is the probability that diameter exceeds 1 mm? (round your answer to three decimal places.) (c) what is the probability that diameter is within 2 mm of the mean diameter? (round your answer to three decimal places.) (d) for any value a satisfying 0.20 < a < a + 1 < 4.25, what is p(a < x < a + 1)? (round your answer to three decimal places.)