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 X p x 0 1 2 3 a Calculate the mean value of x Hx tires per car 4 0 55 0 18 0 05 0 05 0 17 b Interpret the mean value of x in the context of a long sequence of observations of number of defective tires tires per car In repeated inspections of cars at this station the mean number of defective tires is c What is the probability that x exceeds its mean value P x H d Calculate the standard deviation of x Round your answer to four decimal places tires per car Jy