Let X have the PDF f(x) = x 3 /c for some c0 with space S = {x : 0 x 2}. If A 1 = {x : 0 x 2/3} and A 2 = {x : 1/3 x 1}, compute P(A 1 A…

Let X have the PDF f(x) = x3/c for some c>0 with space S = {x : 0 < x < 2}. If A1 = {x : 0 < x < 2/3} and A2 = {x : 1/3 < x < 1}, compute P(A1∩A2).

(a)5/432

(b)5/108

(c)5/27

(d)5/9

Let X have the PDF f(x) = x3/c for some c&gt;0 with space S = {x : 0 &lt; x &lt; 2}. If A1 = {x : 0 &lt; x &lt;2/3} and A2 = {x : 1/3 &lt; x &lt; 1}, compute P(A1∩A2).(a)5/432(b)5/108(c)5/27…