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unusual: n [a pulls\"; Phosphorus is an important macronutrient for plant growth. Suppose X represents the amount of phosphorus (in parts per million, or ppm} in a given sample of soil. Assume that X follows a uniform distribution with o = 25 ppm andb=bppm. (a) [1 point] Soil is considered to be high in phosphorus if the phosphorus content is higher than 4'! ppm. What is the probability that a randomly selected sample of soil will be high in phosphorus? {h} [I point] What is the maximum amount of phosphorus {in ppm} that a sample of soil can contain and still be in the 25% of samples with the lowest phosphorus levels? {c} [l point] State the specic moment generating ftmction of the distribution of the amount of phosphorus in a given sample of soil. Be sure to include all known parameter values