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Category: Probability and Statistics

f-x-4-5-x-1-x-0-1-2-find-the-moment-generating-function-

Question Number 149030 by jlewis last updated on 02/Aug/21 $$\mathrm{f}\left(\mathrm{x}\right)=\underset{\underset{\mathrm{5}^{\mathrm{x}} +\mathrm{1}} {−}} {\mathrm{4}}\:\:\:\:\mathrm{x}=\mathrm{0},\mathrm{1},\mathrm{2}…..\:\:\:\mathrm{find}\:\mathrm{the}\:\mathrm{moment}\: \\ $$$$\mathrm{generating}\:\mathrm{function} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

A-random-variable-K-has-a-pdf-f-k-0-otherwise-e-k-0-gt-k-find-E-K-and-the-cdf-

Question Number 148864 by jlewis last updated on 31/Jul/21 $$\mathrm{A}\:\mathrm{random}\:\mathrm{variable}\:\mathrm{K}\:\mathrm{has}\:\mathrm{a}\:\mathrm{pdf}\: \\ $$$$\mathrm{f}\left(\mathrm{k}\right)=\left\{_{\mathrm{0}\:\:\:\:\:\:,\:\:\:\:\:\:\:\mathrm{otherwise}} ^{\mathrm{e}^{−\mathrm{k}\:\:\:,\:\:\:\:\:\:\:\:\mathrm{0}>\mathrm{k}} } \:\:\:\:\mathrm{find}\:\mathrm{E}\left(\mathrm{K}\right)\:\mathrm{and}\:\right. \\ $$$$\mathrm{the}\:\mathrm{cdf} \\ $$ Answered by Olaf_Thorendsen last updated on…

consider-the-following-pdf-of-a-random-variable-X-f-x-i-0-x-2-i-i-0-otherwise-x-gt-0-find-the-variance-X-

Question Number 148620 by jlewis last updated on 29/Jul/21 $$\mathrm{consider}\:\mathrm{the}\:\mathrm{following}\:\mathrm{pdf}\:\mathrm{of} \\ $$$$\mathrm{a}\:\mathrm{random}\:\mathrm{variable}\:\mathrm{X} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)=\left\{\sum_{\mathrm{i}=\mathrm{0}} ^{\infty} \left[\left(−\mathrm{x}^{\mathrm{2}} \right)\mathrm{i}/\mathrm{i}!\right]_{\mathrm{0}\:\mathrm{otherwise}} ^{\mathrm{x}>\mathrm{0}} \:\right. \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{variance}\:\mathrm{X} \\ $$$$ \\ $$…

Question-148569

Question Number 148569 by puissant last updated on 29/Jul/21 Commented by Olaf_Thorendsen last updated on 29/Jul/21 $$\mathrm{Remarque}\:: \\ $$$$\mathrm{Si}\:{x}\:\mathrm{est}\:\mathrm{le}\:\mathrm{laps}\:\mathrm{de}\:\mathrm{temps}\:\mathrm{que}\:\mathrm{les}\:\mathrm{deux} \\ $$$$\mathrm{amis}\:\mathrm{acceptent}\:\mathrm{de}\:\mathrm{s}'\mathrm{attendre},\:\mathrm{la}\: \\ $$$$\mathrm{formule}\:\mathrm{generale}\:\mathrm{est}\:: \\ $$$${p}\:=\:\mathrm{1}−\frac{\left(\mathrm{60}−{x}\right)^{\mathrm{2}}…

A-carrier-based-on-its-anual-records-notes-that-its-trucks-cover-50000-km-with-a-normal-distribution-with-a-detour-of-12000-km-How-many-miles-can-be-traveled-at-least-80-of-trucks-

Question Number 17247 by adelson last updated on 02/Jul/17 $${A}\:{carrier}\:{based}\:{on}\:{its}\:{anual}\:{records}\:{notes}\:{that}\:{its}\:{trucks}\:{cover}\:\mathrm{50000} \\ $$$${km}\:{with}\:{a}\:{normal}\:{distribution}\:{with}\:{a}\:{detour}\:{of}\:\mathrm{12000}\:{km}. \\ $$$${How}\:{many}\:{miles}\:{can}\:{be}\:{traveled}\:{at}\:{least}\:\mathrm{80\%}\:{of}\:{trucks}\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

4-bad-apples-are-mixed-accidentally-with-20-good-apples-Obtain-the-probability-distribution-of-the-numbers-of-bad-apples-in-a-draw-of-2-apples-at-random-

Question Number 147906 by Odhiambojr last updated on 24/Jul/21 $$\mathrm{4}\:{bad}\:{apples}\:{are}\:{mixed}\:{accidentally} \\ $$$${with}\:\mathrm{20}\:{good}\:{apples}.\:{Obtain}\:{the} \\ $$$$\:{probability}\:{distribution}\:{of}\:{the}\: \\ $$$${numbers}\:{of}\:{bad}\:{apples}\:{in}\:{a}\:{draw}\:{of}\: \\ $$$$\mathrm{2}\:{apples}\:{at}\:{random} \\ $$ Answered by Olaf_Thorendsen last updated…

a-word-is-formed-with-3-vowels-and-3-consonants-without-repetition-the-probability-the-formation-of-words-begining-the-letter-z-is-

Question Number 82111 by john santu last updated on 18/Feb/20 $${a}\:{word}\:{is}\:{formed}\:{with}\:\mathrm{3}\:{vowels} \\ $$$${and}\:\mathrm{3}\:{consonants}\:{without}\: \\ $$$${repetition}\:.\:{the}\:{probability}\:{the} \\ $$$${formation}\:{of}\:{words}\:{begining}\:{the} \\ $$$${letter}\:{z}\:{is}? \\ $$ Commented by john santu…