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Populasi

Misal :

M=a


{:[F=M=a],[Z=M+F-MnnF],[P(Z)=P(M)+P(F)-P(MnnF)],[=a+a-P(M)**P(F)],[=2a-a^(2)]:}

{:[P(S)=1-P(Z)],[=1-2a+a^(2)],[P(S)=(1-a)^(2)],[P(Z)=1-(1-a)^(2)]:}

Populasi\newline- Misal :\newline- M=a \mathrm{M}=\mathrm{a} \newlineF=M=aZ=M+FMFP(Z)=P(M)+P(F)P(MF)=a+aP(M)P(F)=2aa2 \begin{array}{l} \mathrm{F}=\mathrm{M}=\mathrm{a} \\ \mathrm{Z}=\mathrm{M}+\mathrm{F}-\mathrm{M} \cap \mathrm{F} \\ \mathrm{P}(\mathrm{Z})=\mathrm{P}(\mathrm{M})+\mathrm{P}(\mathrm{F})-\mathrm{P}(\mathrm{M} \cap \mathrm{F}) \\ =a+a-P(M) * P(F) \\ =2 a-\mathrm{a}^{2} \end{array} \newlineP(S)=1P(Z)=12a+a2P(S)=(1a)2P(Z)=1(1a)2 \begin{aligned} P(S) & =1-P(Z) \\ & =1-2 a+a^{2} \\ P(S) & =(1-a)^{2} \\ P(Z) & =1-(1-a)^{2} \end{aligned}

Full solution

Q. Populasi\newline- Misal :\newline- M=a \mathrm{M}=\mathrm{a} \newlineF=M=aZ=M+FMFP(Z)=P(M)+P(F)P(MF)=a+aP(M)P(F)=2aa2 \begin{array}{l} \mathrm{F}=\mathrm{M}=\mathrm{a} \\ \mathrm{Z}=\mathrm{M}+\mathrm{F}-\mathrm{M} \cap \mathrm{F} \\ \mathrm{P}(\mathrm{Z})=\mathrm{P}(\mathrm{M})+\mathrm{P}(\mathrm{F})-\mathrm{P}(\mathrm{M} \cap \mathrm{F}) \\ =a+a-P(M) * P(F) \\ =2 a-\mathrm{a}^{2} \end{array} \newlineP(S)=1P(Z)=12a+a2P(S)=(1a)2P(Z)=1(1a)2 \begin{aligned} P(S) & =1-P(Z) \\ & =1-2 a+a^{2} \\ P(S) & =(1-a)^{2} \\ P(Z) & =1-(1-a)^{2} \end{aligned}
  1. Misal: M=aM=a: Misal (Assume):M=aM=a
  2. Equations: We have the following equations:\newlineF=M=aF=M=a\newlineZ=M+FMnnFZ=M+F-MnnF\newlineP(Z)=P(M)+P(F)P(MnnF)P(Z)=P(M)+P(F)-P(MnnF)\newline=a+aP(M)P(F)= a + a - P(M)^{P(F)}\newline=2aa2= 2a - a^{2}

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