Complete the statement with <, >, or =. 5/5 ____ 1
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If <em>X</em> is uniformly distributed on the interval (0, 12), then its PDF is
or simply
and the zero-elsewhere case is assumed.
Whether you include 0 and 12 in the domain is irrelevant, since the probability that <em>X</em> = 0 or <em>X</em> = 12 are both zero.
Let's solve ~
Equation of directrix is : y = 1, so we can say that it's a parabola of form : -
- h = x - coordinate of focus = -4
- k = y - coordinate of focus = 5
- a = half the perpendicular distance between directrix and focus = 1/2(5 - 1) = 1/2(4) = 2
and since the focus is above the directrix, it's a parabola with upward opening.