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Question Number 76098 by vishalbhardwaj last updated on 23/Dec/19

Answered by benjo last updated on 23/Dec/19

$$5.\mathrm{let}\mathrm{x}=\mathrm{u}+\mathrm{c}\Rightarrow \mathrm{dx}=\mathrm{du}$$$$\mathrm{so}\mathrm{we}\mathrm{have}\stackrel{\mathrm{b}}{\int }\mathrm{f}(\mathrm{u}+\mathrm{c})\mathrm{du}$$

Commented by john santuy last updated on 24/Dec/19

$$ithinkit\underset{a}{\stackrel{b}{\int }}f(u+c)du=\underset{a}{\stackrel{b}{\int }}f(x+c)dx.$$$$becausef\left(x\right)isperiodicfunctionwith$$$$periodic=c$$

Answered by benjo last updated on 23/Dec/19

$$4.\mathrm{P}\left(\mathrm{x}\right)=0.4\times 0.3\times 0.8+0.4\times 0.7\times 0.2$$$$+0.6\times 0.3\times 0.2$$

Commented by benjo last updated on 23/Dec/19

$$\mathrm{my}\mathrm{typo}\mathrm{its}\mathrm{ans}\mathrm{no}2$$

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