mean m = E(X), variance o = var(X), and standard deviation o = 0x of each distribution: %3D 2 3 11 1 3 4. 5 D 1/3 1/2 1/6 (b) f(x) 0.4 0.1 0.2 0.3 the formulas, H = E(X) = x, f (x1) + x2f (x2) + ... + Xmf (Xm) = Ex,f(x) E(X³) = x f(x) + x3f(x2)+ ...+ x(Xm) = fx) %3D a use the formulas = var (X) = E(X?)-u² and o= ox = var( X). %3D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Find the mean m =
E(X), variance o, = var(X), and standard deviation o =
Ox of each distribution:
%3D
2 3 11
3
4
(a)
f(x) 13 1/2 1/6
(b)
f(x) 0.4 0.1 0.2 0.3
Use the formulas,
... + xm f (xm) = Ex,ƒ(x,)
µ = E(X) = x1 f (x1) + x2f (x,) +
E(X³) = x} f(x) + x} f(x) +...+ *(*m) = f(x)
Then use the formulas
= var (X) = E(X?)-u and o= ox=
var(X).
%3D
Transcribed Image Text:Find the mean m = E(X), variance o, = var(X), and standard deviation o = Ox of each distribution: %3D 2 3 11 3 4 (a) f(x) 13 1/2 1/6 (b) f(x) 0.4 0.1 0.2 0.3 Use the formulas, ... + xm f (xm) = Ex,ƒ(x,) µ = E(X) = x1 f (x1) + x2f (x,) + E(X³) = x} f(x) + x} f(x) +...+ *(*m) = f(x) Then use the formulas = var (X) = E(X?)-u and o= ox= var(X). %3D
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