Question

Consider a variable x that describes the number of under-inflated tire on a four-wheel automobile. The mass function is given by: p(0) 0.4, p(1)p(2)p(3) 0.1; p(4)0.3 a) Verify that this is a proper mass function b) Determine the expected value and the variance of this distribution. c) For what proportion of cars will the number of underinflated tires be within+1 standard deviation of the mean value?

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