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Category: Probability and Statistics

Let-the-independent-random-variables-X-1-and-X-2-have-binomial-distribution-with-parameters-n-1-3-p-2-3-and-n-2-4-p-1-2-respectively-Compute-P-X-1-X-2-

Question Number 149463 by jlewis last updated on 05/Aug/21 $$\mathrm{Let}\:\mathrm{the}\:\mathrm{independent}\:\mathrm{random}\:\mathrm{variables} \\ $$$$\mathrm{X}_{\mathrm{1}} \:\mathrm{and}\:\mathrm{X}_{\mathrm{2}} \:\mathrm{have}\:\mathrm{binomial}\:\mathrm{distribution} \\ $$$$\mathrm{with}\:\mathrm{parameters}\:\mathrm{n}_{\mathrm{1}} =\mathrm{3},\mathrm{p}=\mathrm{2}/\mathrm{3}\:\mathrm{and}\:\mathrm{n}_{\mathrm{2}} =\mathrm{4} \\ $$$$\mathrm{p}=\mathrm{1}/\mathrm{2}\:\:\mathrm{respectively}.\: \\ $$$$\mathrm{Compute}\:\mathrm{P}\left(\mathrm{X}_{\mathrm{1}} =\mathrm{X}_{\mathrm{2}} \right) \\…

Question-149440

Question Number 149440 by nadovic last updated on 05/Aug/21 Answered by Olaf_Thorendsen last updated on 07/Aug/21 $$\left(\mathrm{a}\right)\:\mathrm{A}_{\mathrm{1}} =\:“\mathrm{persons}\:\mathrm{from}\:\mathrm{only}\:\mathrm{one}\:\mathrm{of}\:\mathrm{the}\:\mathrm{three} \\ $$$$\mathrm{groups}''. \\ $$$$\mathrm{That}\:\mathrm{means}\:\mathrm{3}\:\mathrm{volleyball}\:\mathrm{players}\:\mathrm{or} \\ $$$$\mathrm{3}\:\mathrm{hockey}\:\mathrm{players}. \\…

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