Question
Download Solution PDFযদি x একটি পয়সন বৈচিত্র্য যা P(3) = P(4) শর্ত পূরণ করে তবে x এর গড় নির্ণয় করুন?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত
P(3) = P(4)
অনুসৃত ধারণা
পয়সন বিভাজন = এটি একটি বিচ্ছিন্ন বিভাজনও। পয়সন বিভাজন স্বাভাবিক বিভাজনের সীমাবদ্ধতা পূরণ করে
পয়সন বিভাজন f(x) = (e-λ × λx)/x! দ্বারা প্রদত্ত!
যেখানে x = 0, 1, 2, 3 ---- এবং λ = গড়
গণনা
এখানে x = 3 এবং 4
⇒ (e-λ × λ3)/3! = (e-λ × λ4)/4!
⇒ λ = 4!/3!
⇒ λ = 4
∴ পয়সন বিভাজনে x এর গড় হল 4
Last updated on Jul 8, 2025
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