Question
Download Solution PDFएक द्विपद बंटन में, माध्य 4 और प्रसरण 3 है। तो इसका बहुलक है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFद्विपद बंटन में, माध्य = np, प्रसरण = npq और बहुलक r है यदि x = r के लिए, प्रायिकता फलन p(x) अधिकतम है।
दिया गया है, np = 4 और npq = 3
\(\therefore {\rm{q\;}} = {\rm{\;}}\frac{3}{4}{\rm{\;and\;p\;}} = {\rm{\;}}1 - {\rm{q\;}} = {\rm{\;}}1 - \frac{3}{4}{\rm{\;}} = {\rm{\;}}\frac{1}{4}\)
साथ ही, \({\rm{n\;}} = {\rm{\;}}\frac{4}{{\rm{p}}}{\rm{\;}} = {\rm{\;}}\frac{4}{{\frac{1}{4}}}{\rm{\;}} = {\rm{\;}}16\)
अब, \(\left( {{\rm{n}} + 1} \right){\rm{p\;}} = {\rm{\;}}\left( {16 + 1} \right)\frac{1}{4}{\rm{\;}} = {\rm{\;}}\frac{{17}}{4}{\rm{\;}} = {\rm{\;}}4 + \frac{1}{4}\)Last updated on Jun 26, 2025
-> The UPSC CDS Exam Date 2025 has been released which will be conducted on 14th September 2025.
-> Candidates had applied online till 20th June 2025.
-> The selection process includes Written Examination, SSB Interview, Document Verification, and Medical Examination.
-> Attempt UPSC CDS Free Mock Test to boost your score.
-> Refer to the CDS Previous Year Papers to enhance your preparation.