Question
Download Solution PDFयदि चार परस्पर अपवर्जी और निःशेष घटनाओं P, Q, R और S की प्रायिकताएँ निम्न संबंध को संतुष्ट करती हैं:3P(P) = P(Q) = 2P(R) = 4P(S), तब P(Q) क्या है?
3P(P) = P(Q) = 2P(R) = 4P(S), तब P(Q) क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसही उत्तर
यदि घटनाएँ P, Q, R और S परस्पर अपवर्जी एवं निःशेष घटनाएँ हैं, तब उनकी प्रायिकताओं का योग 1 होता है। अर्थात P(P) + P(Q) + P(R) + P(S) = 1
हमें दिया गया है: 3P(P) = P(Q) = 2P(R) = 4P(S)
हम इसे निम्न प्रकार लिख सकते हैं:
P(P) =
इन मानों को समीकरण P(P) + P(Q) + P(R) + P(S) = 1 में प्रतिस्थापित करने पर, हम प्राप्त करते हैं:
या
या
या P(Q) =
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