Q 1.(a) A random variable, X, is defined as ‘the absolute difference and sum of Numbers appearing when two fair dice are tossed’. Construct the Probability distribution of the random variable, X for (i)sum
(ii)difference of the above random variable.
(iii)Outline a clear cut analysis of these two components with respect to the given random variable.

Suppose that f(0) = −3 and f '(x) ≤ 8 for all values of x. how large can f(4) possibly be? solution we are given that f is differentiable (and therefore continuous) everywhere. in particular, we can apply the mean value theorem on the interval [0, 4] . there exists a number c such that

Choose the correct slope of the line that passes through the points (1, -3) and (3, -5)

The mean finish time was 185.52 with a standard deviation of 0.327 minute. the winning car driven by chris finished in 185.13. the previous year race had a mean finish time of 110.3 with a standard deviation of 0.106. the winning car that year driven by karen finished in 110.13 minutes. find their respective z-scores. chris - z-score karen “- z-score