Suppose that the running distance (in thousands of kilometres) that car owners get from a tyre is

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Suppose that the running distance (in thousands of kilometres) that car owners get from a tyre is a random variable with density function

fx(x) = -x/30 30 e 0 (x > 0) (x  0)

Find

(a) The probability that one of these tyres will last at most 19 000 km;

(b) The mean and standard deviation of X;

(c) The median and interquartile range of X.

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