1. probability density function of a random process has been shown, Determine probability distribution function and p (x≤1.5) and a, b, c Sax²+bx²+c -2<×12. P(x)= *72. *5-2
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- (c) Determine the value of k if p(x) is a probability mass function. k(x – 1) , x= 3,4,5 , elsewhere f(x) = Hence find p(x < 5).Run the Bellman-Ford algorithm on the directed graph of the following graph (Figure 24.4), using vertex z as the source. In each pass, relax edges in the same order as in the figure, and show the d and T values after each pass. 5 00 -2 00 6. S 8 7 00• Use the definition of Laplace transform to find L{f (t)} for the given f (t). a) f(t) = cos2(t – n) %D b) f(t) = 2 sin 3t cos 3t 2 c) f(t) = sinh t 3