X is a continuous random variable having p.d.f. f(x) such that f(x) = kx2 Osxs5 otherwise Find : (a) the constant k; (b) P(13XS2); (c) E(X); (d) Е(ЗХ + 1); (e) E(X?); (f) Var (X); (g) Var (4X - 5);

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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X is a continuous random variable having p.d.f. f(x) such that
f(x) =
kx2 Osxs5
otherwise
Find :
(a)
the constant k;
(b)
P(13XS2);
(c)
E(X);
(d)
E(3X + 1);
(e)
E(X);
(f)
Var (4X - 5);
Var (X);
(g)
Transcribed Image Text:X is a continuous random variable having p.d.f. f(x) such that f(x) = kx2 Osxs5 otherwise Find : (a) the constant k; (b) P(13XS2); (c) E(X); (d) E(3X + 1); (e) E(X); (f) Var (4X - 5); Var (X); (g)
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