यदि एक जनसंख्या में 10 इकाइयाँ हैं और SRSWOR (बिना शून्य के सरल यादृच्छिक नमूना-चयन) को अपनाया जाता है, तो 2 इकाइयों के एक निर्दिष्ट नमूने के चयन की प्रायिकता क्या होगी:

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 / 10
  2. 1 / 45
  3. 1 / 90
  4. 1 / 100

Answer (Detailed Solution Below)

Option 2 : 1 / 45
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Detailed Solution

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दिया गया है

जनसंख्या N = 10

नमूने n = 2

अवधारणा

SRSWOR में नमूने के चयन की प्रायिकता 1/Ncn है

NCn = N!/n!(N - n)!

गणना

आवश्यक प्रायिकता 1/10cहै

⇒ 1/(10!/(2!(10 -2)!

⇒ 10!/2!/8!

⇒ (8! × 2!)/10!

⇒ 1/45

∴ 2 इकाइयों के एक निर्दिष्ट नमूने के चयन की प्रायिकता 1/45 है

 जब हम SRSWR के रूप में चयन करते हैं तो नमूने के चयन की प्रायिकता 1/Nn होती है

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