Distributive is easiest.
$6 x 24=(6x20)+(6x4)=120+24=144
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Answer:
x=-2
Step-by-step explanation:
-6/18=x/6
simplify the -6/18 into -1/3,
-1/3=x/6
cross product,
3*x=-1*6
3x=-6
x=-6/3
x=-2
(a) If <em>f(x)</em> is to be a proper density function, then its integral over the given support must evaulate to 1:

For the integral, substitute <em>u</em> = <em>x</em> ² and d<em>u</em> = 2<em>x</em> d<em>x</em>. Then as <em>x</em> → 0, <em>u</em> → 0; as <em>x</em> → ∞, <em>u</em> → ∞:

which reduces to
<em>c</em> / 2 (0 + 1) = 1 → <em>c</em> = 2
(b) Find the probability P(1 < <em>X </em>< 3) by integrating the density function over [1, 3] (I'll omit the steps because it's the same process as in (a)):

Step-by-step explanation: