let-P-k-C-k-4-k-1-determine-C-so-that-the-family-p-k-k-N-define-a-measure-of-probability-2-we-draw-a-number-in-N-according-to-the-probability-P-determined-the-probability-that-the Tinku Tara June 4, 2023 Probability and Statistics 0 Comments FacebookTweetPin Question Number 123100 by pticantor last updated on 23/Nov/20 letPk=Ck×4k1)determineCsothatthefamily(pk,k∈N∗)defineameasureofprobability2)wedrawanumberinN∗accordingtotheprobabilityPdeterminedtheprobabilitythatthenumberdrawnisamultipleof4pleaseineedyourhelp Answered by Olaf last updated on 23/Nov/20 1)∑∞k=1Pk=1C∑∞k=11k4k=111−x=∑∞k=0xk−ln∣1−x∣=∑∞k=0xk+1k+1=∑∞k=1xkkif∣x∣<1Ifx=14,−ln34=∑∞k=11k4k⇒−C.ln34=1⇒C=1ln432)Pk=1k4kln43Letk=4j,j∈N∗∑∞j=1Pk=1ln43∑∞j=114j44j=14.ln43∑∞j=11j256j∑∞j=1Pk=14.ln43∑∞j=11j256j=−ln∣1−1256∣4.ln43∑∞j=1Pk=ln2562554.ln43(I′mnotsosureofmyresult) Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: Question-188635Next Next post: Question-188642 Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.