Question: code class = asciimath > ( 1 0 marks ) Let x be a continuous random variable. Show that P ( xin [ a ,

code class="asciimath">(10 marks) Let x be a continuous random variable. Show that P(xin[a,b])=E[1_([a,b])(x)] where 1_([a,b]) is indicator function of a,b, i.e.1_([a,b])(x)=1 if xin[a,b] and 1_([a,b])(x)=0 if x!in[a,b].
code class = "asciimath" > ( 1 0 marks ) Let x be

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