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Page 2 of 3 ZOOM + 3. 2.2.11 The resistance X of an electrical component has a probability density function f (x) = Ax(130 - x2) for resistance values in the range 10 S x = 1 1. (a) Calculate the value of the constant A. (hint: property of cdf) (b) Calculate the cumulative distribution function. (F(x) is piece-wise function) (c) What is the probability that the electrical component has a resistance between 10.25 and 10.5? d) what us the probability that the electrical component has a resistance greater than 10.5 (d) what is the mean of random variable X (you can apply calculator to calculate indefinite integral ) e) What is the median of random variable X