Question
Download Solution PDFThe value of k for which the function
is probability density function, is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
f(x) = { ke-3x, x > o
{ 0, elsewhere
Concept used
Calculation
According to given part
⇒
⇒ 0 +
⇒ ∫ke-3xdx = 1
⇒ k[-e-3x/3]
⇒ -k/3[e-∞- e0] = 1
⇒ -k/3(0 – 1) = 1
⇒ k./3 = 1
∴ The value of k = 3 for PDF
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