Answer:
50%
Step-by-step explanation:
Let :
Winter = W
Summer = S
P(W) = 0.85
P(S) = 0.65
Recall:
P(W u S) = p(W) + p(S) - p(W n S)
Since, none of them did not like both seasons, P(W u S) = 1
Hence,
1 = 0.85 + 0.65 - p(both)
p(both) = 0.85 + 0.65 - 1
p(both) = 1.50 - 1
p(both) = 0.5
Hence percentage who like both = 0.5 * 100% = 50%
The last one because y divide by x equals 5 for every single one
I think it would be 20
but am not sure
(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)):

The graph is in the picture (0,8) (40,0)