The probability density function of X is f(x)={\\begin{array}{c}3 e^{-3 x\end{array} , x>0 ; 0 , \text{ elsewhere } } The cumulative distribution function of X is

Correct Answer is : F(x)={0x≤01−e−3xx>0

F(x)= \{\table0,x \geq 0; 1-e^{-3 x},x < 0

F(x)= \{\table0,x \leq 0; 1+e^{-3 x},x > 0

F(x)= \{\table0,x \leq 0; 1-e^{-3 x},x > 0

CUSAT 2018 BTech Solved Paper

Question : 109 of 250

Marks: +1, -0

The probability density function of X is
f(x)={

3e−3x	x>0
0	‌ elsewhere ‌

The cumulative distribution function of X is

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0	x≥0
1−e−3x	x<0

0	x≤0
1+e−3x	x>0

0	x≤0
1−e−3x	x>0