Category: Probability and Statistics

Question Number 108399 by bobhans last updated on 16/Aug/20 Commented by mr W last updated on 16/Aug/20 $$1-\frac{9!}{10!/2!}=\frac{4}{5}$$ Commented by bobhans last updated…

Question Number 108334 by john santu last updated on 16/Aug/20 $$\frac{⊸JS⊸}{△}$$$$IfarandomvariableXfollowsnormal$$$$distributionwithmean30and$$$$variance25.Whatistheprobalility$$$$ofXislessthan28?$$ Answered by bemath last…

Question Number 173842 by byaw last updated on 19/Jul/22 $$$$The probability that an athlete will not win any of the three races is…

Question Number 107659 by bobhans last updated on 12/Aug/20 $$\oint \mathbb{B}\mathrm{obhans}\oint$$$$\mathrm{If}\mathrm{all}\mathrm{the}\mathrm{letters}\mathrm{of}\mathrm{the}\mathrm{word}\mathrm{MISSISSIPPI}\mathrm{are}\mathrm{written}\mathrm{down}$$$$\mathrm{at}\mathrm{random},\mathrm{the}\mathrm{probability}\mathrm{that}\mathrm{all}\mathrm{the}\mathrm{four}\mathrm{S}\mathrm{appear}\mathrm{consecutively}\mathrm{is}\mathrm{\_}\mathrm{\_}\mathrm{\_}$$ Answered by bemath last updated on 12/Aug/20 $$\:\:\:\:\:\:\:\divideontimes\mathcal{B}{e}\mathcal{M}{ath}\divideontimes \…

Question Number 171993 by Tawa11 last updated on 23/Jun/22 Commented by Tawa11 last updated on 23/Jun/22 $$\mathrm{A}\mathrm{soldier}\mathrm{fires}\mathrm{shots}\mathrm{from}\mathrm{his}\mathrm{rifle}\mathrm{and}\mathrm{he}\mathrm{is}\mathrm{expected}\mathrm{to}\mathrm{hit}\mathrm{a}\mathrm{target}5\mathrm{out}\mathrm{of}6$$$$\mathrm{shots}.\mathrm{If}\mathrm{the}\mathrm{soldier}\mathrm{fires}\mathrm{five}\mathrm{shots},\mathrm{find}\mathrm{the}\mathrm{probability}\mathrm{that}\mathrm{he}\mathrm{will}$$$$\left(\mathrm{a}\right)\mathrm{miss}\mathrm{each}\mathrm{time}$$$$\left(\mathrm{b}\right)\mathrm{hit}\mathrm{the}\mathrm{target}\mathrm{thrice}$$$$\left(\mathrm{c}\right)\:\:\mathrm{hit}\:\mathrm{the}\:\mathrm{target}\:\mathrm{at}\:\mathrm{most}\:\mathrm{twice}…