Question Number 181677 by ali009 last updated on 28/Nov/22 $$\:{the}\:{distirbution}\:{function}\:{for}\:{a}\:{random} \\ $$$${variable}\:{X}\:{is} \\ $$$${F}\left({x}\right)=\begin{cases}{\mathrm{1}−\mathrm{2}{e}^{−\mathrm{2}{x}} \:\:\:\:\:\:\:\:\:\:\:\:\:\:{x}\geqslant\mathrm{0}}\\{\mathrm{0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{x}<\mathrm{0}}\end{cases} \\ $$$${find} \\ $$$$\left.\mathrm{1}\right){the}\:{density}\:{function}\:{f}\left({x}\right) \\ $$$$\left.\mathrm{2}\right){p}\left({x}>\mathrm{2}\right) \\ $$$$\left.\mathrm{3}\right){p}\left(−\mathrm{3}<{x}\leqslant\mathrm{4}\right) \\ $$…
Question Number 116083 by Joel574 last updated on 30/Sep/20 $$\mathrm{Given}\:{X}\:\mid\:\Theta=\theta\:\backsim\:{Uniform}\left(\mathrm{0},\theta\right)\:\mathrm{and}\: \\ $$$$\Theta\:\backsim\:{Uniform}\left(\mathrm{20},\mathrm{40}\right). \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{cdf}\:\mathrm{of}\:{X},\:\:{F}_{{X}} \left({x}\right)\:\mathrm{for}\:{x}\in\left[\mathrm{0},\mathrm{20}\right)\:\mathrm{and}\:{x}\in\left[\mathrm{20},\mathrm{40}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 115898 by bemath last updated on 29/Sep/20 $${If}\:{Mike}\:{has}\:\mathrm{10}\:{blocks}\:{numbered} \\ $$$${from}\:\mathrm{1}\:{through}\:{to}\:\mathrm{10}\:.\:{What}\:{is}\:{the} \\ $$$${probability}\:{that}\:{he}\:{didn}'{t}\:{choose} \\ $$$${a}\:{block}\:{number}\:\mathrm{7}? \\ $$ Answered by TANMAY PANACEA last updated on…
Question Number 181424 by Acem last updated on 25/Nov/22 Commented by Acem last updated on 25/Nov/22 $${If}\:{X}\:{represents}\:{a}\:{random}\:{variable}\:{of}\:{choosing} \\ $$$$\:{a}\:{point},\:{what}'{s}\:{the}\:{probability}\:{of}\:{selecting}\:{the} \\ $$$$\:{shaded}\:{regions}? \\ $$ Answered by…
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Question Number 181140 by Acem last updated on 22/Nov/22 $${I}\:{watch}\:{a}\:{favorite}\:{TV}\:{program}\:{daily}\:{for}\:\mathrm{30}\:{min}. \\ $$$$\:{If}\:{there}\:{were}\:{ads}\:{every}\:\mathrm{3}\:{hours},\:{what}'{s}\:{the} \\ $$$$\:{probability}\:{that}\:{i}\:{will}\:{see}\:{ads}\:{once}\:{again}\:{the}\:{next} \\ $$$$\:{day}\:{while}\:{watching}\:{that}\:{program}? \\ $$$$ \\ $$ Commented by mr W last…
Question Number 180990 by Acem last updated on 20/Nov/22 $$\mathrm{2}\:{blondes}\:{hair}\:{of}\:\mathrm{6}\:{girls}\:{will}\:{sit}\:{around}\:{a}\:{circular} \\ $$$$\:{table},\:{what}'{s}\:{the}\:{probability}\:{that}\:{those}\:{two}\:{girls} \\ $$$$\:{sitting}\:{next}\:{to}\:{each}\:{other}? \\ $$ Answered by mr W last updated on 20/Nov/22 $${p}=\frac{\mathrm{4}!\mathrm{2}!}{\mathrm{5}!}=\frac{\mathrm{48}}{\mathrm{120}}=\frac{\mathrm{2}}{\mathrm{5}}=\mathrm{40\%}…
Question Number 180821 by Acem last updated on 17/Nov/22 $${We}\:{want}\:{to}\:{randomly}\:{fill}\:{six}\:{digits}\:{with}\:{one}\:{of} \\ $$$$\:−\mathrm{1}\:{or}\:+\mathrm{1},\:{what}'{s}\:{the}\:{probability}\:{that}\:{the}\:{sum} \\ $$$$\:{value}\:{of}\:{those}\:{digits}\:{is}\:{zero}\:{provided}\:{that}\:{the}\:{same} \\ $$$$\:{values}\:{of}\:{digits}\:{aren}'{t}\:{adjacents}? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 180775 by Acem last updated on 17/Nov/22 $${A}\:{box}\:{contains}\:\mathrm{2}\:{blue},\:\mathrm{1}\:{red}\:{balls}.\:{We}\:{randomly} \\ $$$$\:{draw}\:{one}\:{ball}\:{then}\:{put}\:{it}\:{back}\:{and}\:{add}\:{two}\:{balls} \\ $$$$\:{of}\:{the}\:{same}\:{color}\:{of}\:{that}\:{ball}\:{in}\:{the}\:{box}.\:{We} \\ $$$$\:{randomly}\:{draw}\:{again}\:{one}\:{ball},\:{if}\:{it}\:{was}\:{red}\:{then} \\ $$$$\:{what}'{s}\:{the}\:{probability}\:{that}\:{the}\:{first}\:{drawn}\:{ball} \\ $$$$\:{was}\:{blue}? \\ $$ Commented by som(math1967)…
Question Number 180735 by srikanth2684 last updated on 16/Nov/22 $${A}\:{and}\:{B}\:{throw}\:{with}\:\mathrm{3}\:{dice}.\:{if}\:{A}\: \\ $$$${throws}\:{a}\:{sum}\:{of}\:\mathrm{16}\:{points},\:{the} \\ $$$$\:{probability}\:{of}\:{B}\:{throwing}\: \\ $$$${a}\:{higher}\:{sum}\:{is}\: \\ $$$${pls}\:{solve} \\ $$ Answered by Acem last updated…