k का मान जिसके लिए फलन 

 

प्रायिकता घनत्व फलन है, है

This question was previously asked in
SSC CGL Tier-II ( JSO ) 2016 Official Paper ( Held On : 2 Dec 2016 )
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  1. 1
  2. 2
  3. 3

  4. 1 / 3

Answer (Detailed Solution Below)

Option 3 :

3

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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
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Detailed Solution

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दिया गया है

f(x) = { ke-3x, x > o

          { 0, elsewhere

प्रयुक्त संकल्पना

 =  +  = 1

गणना

दिए गए भाग के अनुसार 

 = 0

⇒ 0 +  = 0

 ∫ke-3xdx = 1

⇒ k[-e-3x/3]

⇒ -k/3[e-∞- e0] = 1

⇒ -k/3(0 – 1) = 1

⇒ k./3 = 1

∴ PDF के लिए k का मान 3 है

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