Search for: If a variable takes values 0,1,2,…,nwith frequencies qn,n1qn−1p,n(n−1)1⋅2qn−2p2,…pn, where p+q=1 then the mean is If a variable takes values 0,1,2,…,nwith frequencies qn,n1qn−1p,n(n−1)1⋅2qn−2p2,…pn, where p+q=1 then the mean is AnpBnqCn(p+q)DNone of these Fill Out the Form for Expert Academic Guidance!l Grade ---Class 1Class 2Class 3Class 4Class 5Class 6Class 7Class 8Class 9Class 10Class 11Class 12 Target Exam JEENEETCBSE +91 Preferred time slot for the call ---9 am10 am11 am12 pm1 pm2 pm3 pm4 pm5 pm6 pm7 pm8pm9 pm10pm Please indicate your interest Live ClassesBooksTest SeriesSelf Learning Language ---EnglishHindiMarathiTamilTeluguMalayalam Are you a Sri Chaitanya student? NoYes Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:Required mean,⇒x¯=0⋅qn+1⋅n1qn−1p+2⋅n(n−1)2!qn−2p2+…+n⋅pnqn+n1qn−1p+n(n−1)2!qn−2p2+…+pn⇒x¯=0⋅nC0qnp0+1⋅nC1qn−1p+…+n⋅nCnq0pn nC0qnp0+nC1qn−1p1+…+nCnqn−npn⇒x¯=∑r=0n r⋅nCrqn−rpr∑r=0n nCrqn−rpr=∑r=0n r⋅nrn−1Cr−1qn−rp⋅pr−1∑r=0n nCrqn−rpr⇒x¯=np∑r=1n n−1∑r−1 pr−1q(n−1)−(r−1)⇒x¯=np(q+p)n−1(q+p)n n−rpr∴x¯=np(∵q+p=1) Related content Nucleus Diagram for Class 9 Neuron Diagram Class 9 Human Heart Diagram Class 10 CBSE Class 7 Science Chapter 1 Nutrition in Plants MCQ Questions with Answers CBSE Class 9 English Worksheet – The Road not Taken 50+ GK Questions and Answers for Class 8 “Kabir Ki Sakhiyan” MCQ Questions for Class 9 Hindi with Answers Kshitij, Kritika, Sparsh, Sanchayan Bhag 1 CBSE Class 7 English Honeycomb Chapter 1 Three Questions MCQ Questions with Answers CBSE Class 9 English Beehive Book Poem 1 The Road Not Taken MCQ Questions with Answers MCQs Questions with Answers for Class 9 English Chapter 1 The Fun They Had