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The life expectancy (in years) of a certain brand of clock radio is a continuous random variable with the probability density function below. f ( x ) = 21 (x + 2)2 if x20 otherwise (A) Find the probability that a randomly selected clock lasts at most 4 years. (B) Find the probability that a randomly selected clock radio lasts from 4 to 12 years. (C) Graph y = f(x) for [0, 12] and show the shaded region for part (A). (A) What is the probability that a clock will last no more than 4 years? (Type a decimal rounded to three decimal places as needed.) (B) What is the probability that a clock will last between 4 and 12 years? (Type an integer or decimal rounded to three decimal places as needed.) (C) Choose the graph which represents the function with the correct shading. O O O O Ay 0.5 74 Ay Ay 0.5- 0.5- 0.5- X X X O- 0 12 12 12