Question
Download Solution PDFबच्चों की उम्र के प्रायिकता घनत्व फलन को इस प्रकार परिभाषित किया गया है\(f(x)=\dfrac{3}{4}x(2-x);0<x<2\), X का 5वाँ दशमक बिंदु है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFव्याख्या
5वें दशमक के लिए = \(% MathType!Translator!2!1!AMS LaTeX.tdl!AMSLaTeX! % MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 % qadaGfWbqabSWdaeaapeGaaGimaaWdaeaapeGaaGOmaaqdpaqaa8qa % cqGHRiI8aaacbmGccaWFMbWaaeWaa8aabaWdbiaa-HhaaiaawIcaca % GLPaaacaWFKbGaa8hEaiabg2da9iaaiwdacaGGVaGaaGymaiaaicda % aaa!43C1! \mathop \smallint \limits_0^2 f\left( x \right)dx = 5/10% MathType!End!2!1! \)
गणना
\(% MathType!Translator!2!1!AMS LaTeX.tdl!AMSLaTeX! % MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 % qadaGfWbqabSWdaeaapeGaaGimaaWdaeaapeGaaeiraiaaiwdaa0Wd % aeaapeGaey4kIipaaOGaaG4maiaac+cacaaI0aGaamiEamaabmaapa % qaa8qacaWG4bGaeyOeI0IaaGOmaaGaayjkaiaawMcaaiaadsgacaWG % 4baaaa!448B! \mathop \smallint \limits_0^{{\text{D}}5} 3/4x\left( {x - 2} \right)dx\) = = ¾(2x2/2 – x3/3)0d5
⇒ 5/10 = ¾(2D52/2 – D53/3)
समीकरण में, D5 का मान रखने पर, समीकरण को संतुष्ट करने वाला मान इस प्रश्न का उत्तर हो जाएगा
विकल्प 1 – (1)
⇒ ¾(2 × (1)2/2– (1)3/3)
⇒ ¾(1 – 1/3
⇒ ¾(2/3) = ½ या 5/10
∴ विकल्प 1 समीकरण को संतुष्ट करता है इसलिए X का 5वाँ दशमक बिंदु 1 है।
Last updated on Jun 13, 2025
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