test","extracted_subject":"MATH","extracted_chapter":"PROBABILITY","extracted_topic":"USE OF PERMUTATIONS AND COMBINATIONS IN PROBABILITY","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_2228.png?top_left_x=532&top_left_y=1288&width=532&height=257&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23e74425d76b7ab3212d8","slug":"if-x-follows-a-binomial-distribution-with-paramete-1","content":"If X follows a binomial distribution with parameter n = 6 & 4P (X = 4) = P (X = 2) ; then p =","options":[{"_id":"68a384b87f15af4716b791f6","text":"\$\\frac { 1 } { 3 }\$","sequence":0,"isCorrect":true},{"_id":"68a384b87f15af4716b791f7","text":"\$\\frac { 1 } { 6 }\$","sequence":1,"isCorrect":false},{"_id":"68a384b87f15af4716b791f8","text":"\$\\frac { 1 } { 4 }\$","sequence":2,"isCorrect":false},{"_id":"68a384b87f15af4716b791f9","text":"None","sequence":3,"isCorrect":false}],"correct_answer":"$$\\frac { 1 } { 3 }$","explanation":"4. ⁿC₄ . p⁴ q^n–4 = ⁿC₂. p² q^n–2 Ž 4. ⁶C₄. p⁴q² = ⁶C₂ p²q⁴\n\nŽ 4p² = q² Ž q = 2p\n\nQ p + q = 1 Ž p = 1/3","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:49:40.595Z","__v":0,"vector_store_id":"11a0c6a1-9c4a-4f76-ab7c-1358d8f6c096","updated_at":"2024-08-30T21:49:40.595Z","isStarred":false},"params":{"questionSlug":"if-x-follows-a-binomial-distribution-with-paramete-1"}}]}]]

Question: If X follows a binomial distribution with parameter n = 6 & 4P (X = 4) = P (X = 2) ; then p =...

Solution