एक यादृच्छिक चर का अपेक्षित मान ज्ञात कीजिए जिसमें निम्नलिखित प्रायिकता वितरण है?

X: 2 4 6 8 10
P: 0.1 0.3 0.4 0.1 0.1

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SSC CGL Tier-II ( JSO ) 2017 Official Paper ( Held On : 22 Feb 2018 )
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  1. 5.2
  2. 5.4
  3. 5.6
  4. 5.8

Answer (Detailed Solution Below)

Option 3 : 5.6
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Detailed Solution

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गणना

हम जानते हैं यादृच्छिक चर का अपेक्षित मान 

f(x) = ∑xipi

जहाँ I = 1, 2, 3,-----n है 

f(x) = P1x1 + P2x2 + P3x3 + P4x4 + P5x5

⇒ f(x) = 0.1 × 2 + 0.3 × 4 + 0.4 × 6 + 0.1 × 8 + 0.1 × 10

⇒ 0.2 + 1.2 + 2.4 + 0.8 + 1

f(x) = 5.6

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