যদি x একটি পয়সন বৈচিত্র্য যা P(3) = P(4) শর্ত পূরণ করে তবে x এর গড় নির্ণয় করুন?

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SSC CGL Tier-II ( JSO ) 2017 Official Paper ( Held On : 22 Feb 2018 )
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  1. 2
  2. 8
  3. 4
  4. 16

Answer (Detailed Solution Below)

Option 3 : 4
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প্রদত্ত

P(3) = P(4)

অনুসৃত ধারণা

পয়সন বিভাজন = এটি একটি বিচ্ছিন্ন বিভাজনও। পয়সন বিভাজন স্বাভাবিক বিভাজনের সীমাবদ্ধতা পূরণ করে

পয়সন বিভাজন f(x) = (e × λx)/x! দ্বারা প্রদত্ত!

যেখানে x = 0, 1, 2, 3 ---- এবং λ = গড়

গণনা

এখানে x = 3 এবং 4

 (e × λ3)/3! = (e × λ4)/4!

⇒ λ  = 4!/3!

⇒ λ = 4

পয়সন বিভাজনে x এর গড় হল 4

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