Figure 1 shows the graph of the probability density function, f, of a continuous random variable X, where f is defined by (zx – x)x} lain – lain/otherwise. f(x) = a) Tunjukkan bahawa nilai pemalar k adalah 6. Show that the value of the constant k is 6. b) Nyatakan nilai E (X) dan cari Var (X). State the value of E (X) and find Var(X). c) Cari P(0.4 < X < 2). Find P(0.4

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Figure 1 shows the graph of the probability density function, f, of a continuous random
variable X, where f is defined by
Sk(x - x²)
0<x<1,
f(x) =
%3D
lain – lain/otherwise.
a) Tunjukkan bahawa nilai pemalar k adalah 6.
Show that the value of the constant k is 6.
b) Nyatakan nilai E (X) dan cari Var (X).
State the value of E (X) and find Var (X).
c) Cari P(0.4 < X < 2).
Find P(0.4 <X < 2).
Transcribed Image Text:Figure 1 shows the graph of the probability density function, f, of a continuous random variable X, where f is defined by Sk(x - x²) 0<x<1, f(x) = %3D lain – lain/otherwise. a) Tunjukkan bahawa nilai pemalar k adalah 6. Show that the value of the constant k is 6. b) Nyatakan nilai E (X) dan cari Var (X). State the value of E (X) and find Var (X). c) Cari P(0.4 < X < 2). Find P(0.4 <X < 2).
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