The probability distribution of x, the number of defective tires on a randomly selected automobile checked at a certain inspection station, is given in the following table. 0 2 p(x) (a) Calculate the mean value of x. tires per car 3 0.56 0.16 0.07 0.04 0.17 (b) Interpret the mean value of x in the context of a long sequence observations of number of defective tires. In repeated inspections of cars at this station, the mean number of defective tires is tires per car. (c) What is the probability that x exceeds its mean value? P(x > H₂) = (d) Calculate the standard deviation of x. (Round your answer to four decimal places.)

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