(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)):

Answer:
x ≤ 90?
Step-by-step explanation:
Answer:
Write in slope-intercept form, y
=
m
x
+
b
y=mx+b.
−
Step-by-step explanation:
Answer:
Below<3
Step-by-step explanation:
Type a : 55 75
Type b:48 22
= P(Male | Type B)> P(Male or Type B)