Consider the density function f(x)= (a) Evaluate k. (b) Find F(x) and use it to evaluate P(0.5< X<0.7). F(x)= (a) k= (Type an integer or a simplified fraction.) (b) Complete the definition of F(x). X< k√x, 0

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Consider the density function f(x) =
(a) k =
(b) Complete the definition of F(x).
(a) Evaluate k.
(b) Find F(x) and use it to evaluate P(0.5<X<0.7).
F(x)=
X<
k√√x, 0<x< 1,
0₁
(Type an integer or a simplified fraction.)
X2
≤X<
elsewhere.
P(0.5<X<0.7) =
(Round to four decimal places as needed.)
Transcribed Image Text:Consider the density function f(x) = (a) k = (b) Complete the definition of F(x). (a) Evaluate k. (b) Find F(x) and use it to evaluate P(0.5<X<0.7). F(x)= X< k√√x, 0<x< 1, 0₁ (Type an integer or a simplified fraction.) X2 ≤X< elsewhere. P(0.5<X<0.7) = (Round to four decimal places as needed.)
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