Determine $P (A ∪ (overlineoverlineB ∪ overlineC))$ in the following case The Next CEO of Stack OverflowDetermine the density function…$overlineX rightarrow c$ in probability $Rightarrow g(overlineX) rightarrow g(c)$ in probabilityHow to determine the Moment Gen Function of $overlineX$?Determining the efficiency of $2 overline X$.one to one transformation for the bivariate case.Determine the maximum-likelihood estimation for $lambda$Let X be the average of a sample of 16 independent normal random variables with mean 0 and variance 1. Determine c such that P(|X| < c) = .5Determine the convergence of $overlineX^2_n$Distribution of $fracoverline X - overline Y - (mu_1 -mu_2)sqrtfrac1m+n-2 [(m-1)*s_1^2+(n-1)*s_2^2](frac1m+frac1n)$Expected value and variance of $frac X - overline Xs$

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Determine $P (A ∪ (overlineoverlineB ∪ overlineC))$ in the following case



The Next CEO of Stack OverflowDetermine the density function…$overlineX rightarrow c$ in probability $Rightarrow g(overlineX) rightarrow g(c)$ in probabilityHow to determine the Moment Gen Function of $overlineX$?Determining the efficiency of $2 overline X$.one to one transformation for the bivariate case.Determine the maximum-likelihood estimation for $lambda$Let X be the average of a sample of 16 independent normal random variables with mean 0 and variance 1. Determine c such that P(|X| < c) = .5Determine the convergence of $overlineX^2_n$Distribution of $fracoverline X - overline Y - (mu_1 -mu_2)sqrtfrac1m+n-2 [(m-1)*s_1^2+(n-1)*s_2^2](frac1m+frac1n)$Expected value and variance of $frac X - overline Xs$










1












$begingroup$


Determine $P (A ∪ (overlineoverlineB ∪ overlineC))$ in the following case:



$A$, $B$ and $C$ are incompatible two by two and $P (A) = 3/8$



I did this:



$P (A ∪ (overlineoverlineB ∪ overlineC)) =P(A∪B)∩P(A∪C)=P(A∪B)+P(A∪C)-P(A∪B∪C)$



but I don't know how to go on.










share|cite|improve this question









$endgroup$
















    1












    $begingroup$


    Determine $P (A ∪ (overlineoverlineB ∪ overlineC))$ in the following case:



    $A$, $B$ and $C$ are incompatible two by two and $P (A) = 3/8$



    I did this:



    $P (A ∪ (overlineoverlineB ∪ overlineC)) =P(A∪B)∩P(A∪C)=P(A∪B)+P(A∪C)-P(A∪B∪C)$



    but I don't know how to go on.










    share|cite|improve this question









    $endgroup$














      1












      1








      1





      $begingroup$


      Determine $P (A ∪ (overlineoverlineB ∪ overlineC))$ in the following case:



      $A$, $B$ and $C$ are incompatible two by two and $P (A) = 3/8$



      I did this:



      $P (A ∪ (overlineoverlineB ∪ overlineC)) =P(A∪B)∩P(A∪C)=P(A∪B)+P(A∪C)-P(A∪B∪C)$



      but I don't know how to go on.










      share|cite|improve this question









      $endgroup$




      Determine $P (A ∪ (overlineoverlineB ∪ overlineC))$ in the following case:



      $A$, $B$ and $C$ are incompatible two by two and $P (A) = 3/8$



      I did this:



      $P (A ∪ (overlineoverlineB ∪ overlineC)) =P(A∪B)∩P(A∪C)=P(A∪B)+P(A∪C)-P(A∪B∪C)$



      but I don't know how to go on.







      probability statistics






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked 2 days ago









      user649882user649882

      144




      144




















          1 Answer
          1






          active

          oldest

          votes


















          0












          $begingroup$

          Your notation is a bit confusing to me. I would do this:
          beginalign*
          Pleft(!Acupoverlineleft(overlineBcupoverlineCright),right)&=P(!Acup(Bcap C))\
          &=P(Acupvarnothing)\
          &=P(A)\
          &=frac38.
          endalign*






          share|cite|improve this answer









          $endgroup$












          • $begingroup$
            $B∩C=∅$ because B and C are incompatible?
            $endgroup$
            – user649882
            2 days ago










          • $begingroup$
            Exactly, that's how I read it.
            $endgroup$
            – Adrian Keister
            2 days ago










          • $begingroup$
            if I have $something∩0$ what is it equal to?
            $endgroup$
            – user649882
            2 days ago











          • $begingroup$
            The null set behaves like this: $Acupvarnothing=A$ for all sets $A,$ and $Acapvarnothing=varnothing$ for all sets $A.$
            $endgroup$
            – Adrian Keister
            2 days ago










          • $begingroup$
            If $P(A) = 1/2, P(B ∩ C) = 1/4, P(A ∩ C) = 0$ how do I find $P (A ∪ (overlineoverlineB ∪ overlineC))$?
            $endgroup$
            – user649882
            2 days ago












          Your Answer





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          1 Answer
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          active

          oldest

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          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          0












          $begingroup$

          Your notation is a bit confusing to me. I would do this:
          beginalign*
          Pleft(!Acupoverlineleft(overlineBcupoverlineCright),right)&=P(!Acup(Bcap C))\
          &=P(Acupvarnothing)\
          &=P(A)\
          &=frac38.
          endalign*






          share|cite|improve this answer









          $endgroup$












          • $begingroup$
            $B∩C=∅$ because B and C are incompatible?
            $endgroup$
            – user649882
            2 days ago










          • $begingroup$
            Exactly, that's how I read it.
            $endgroup$
            – Adrian Keister
            2 days ago










          • $begingroup$
            if I have $something∩0$ what is it equal to?
            $endgroup$
            – user649882
            2 days ago











          • $begingroup$
            The null set behaves like this: $Acupvarnothing=A$ for all sets $A,$ and $Acapvarnothing=varnothing$ for all sets $A.$
            $endgroup$
            – Adrian Keister
            2 days ago










          • $begingroup$
            If $P(A) = 1/2, P(B ∩ C) = 1/4, P(A ∩ C) = 0$ how do I find $P (A ∪ (overlineoverlineB ∪ overlineC))$?
            $endgroup$
            – user649882
            2 days ago
















          0












          $begingroup$

          Your notation is a bit confusing to me. I would do this:
          beginalign*
          Pleft(!Acupoverlineleft(overlineBcupoverlineCright),right)&=P(!Acup(Bcap C))\
          &=P(Acupvarnothing)\
          &=P(A)\
          &=frac38.
          endalign*






          share|cite|improve this answer









          $endgroup$












          • $begingroup$
            $B∩C=∅$ because B and C are incompatible?
            $endgroup$
            – user649882
            2 days ago










          • $begingroup$
            Exactly, that's how I read it.
            $endgroup$
            – Adrian Keister
            2 days ago










          • $begingroup$
            if I have $something∩0$ what is it equal to?
            $endgroup$
            – user649882
            2 days ago











          • $begingroup$
            The null set behaves like this: $Acupvarnothing=A$ for all sets $A,$ and $Acapvarnothing=varnothing$ for all sets $A.$
            $endgroup$
            – Adrian Keister
            2 days ago










          • $begingroup$
            If $P(A) = 1/2, P(B ∩ C) = 1/4, P(A ∩ C) = 0$ how do I find $P (A ∪ (overlineoverlineB ∪ overlineC))$?
            $endgroup$
            – user649882
            2 days ago














          0












          0








          0





          $begingroup$

          Your notation is a bit confusing to me. I would do this:
          beginalign*
          Pleft(!Acupoverlineleft(overlineBcupoverlineCright),right)&=P(!Acup(Bcap C))\
          &=P(Acupvarnothing)\
          &=P(A)\
          &=frac38.
          endalign*






          share|cite|improve this answer









          $endgroup$



          Your notation is a bit confusing to me. I would do this:
          beginalign*
          Pleft(!Acupoverlineleft(overlineBcupoverlineCright),right)&=P(!Acup(Bcap C))\
          &=P(Acupvarnothing)\
          &=P(A)\
          &=frac38.
          endalign*







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered 2 days ago









          Adrian KeisterAdrian Keister

          5,28171933




          5,28171933











          • $begingroup$
            $B∩C=∅$ because B and C are incompatible?
            $endgroup$
            – user649882
            2 days ago










          • $begingroup$
            Exactly, that's how I read it.
            $endgroup$
            – Adrian Keister
            2 days ago










          • $begingroup$
            if I have $something∩0$ what is it equal to?
            $endgroup$
            – user649882
            2 days ago











          • $begingroup$
            The null set behaves like this: $Acupvarnothing=A$ for all sets $A,$ and $Acapvarnothing=varnothing$ for all sets $A.$
            $endgroup$
            – Adrian Keister
            2 days ago










          • $begingroup$
            If $P(A) = 1/2, P(B ∩ C) = 1/4, P(A ∩ C) = 0$ how do I find $P (A ∪ (overlineoverlineB ∪ overlineC))$?
            $endgroup$
            – user649882
            2 days ago

















          • $begingroup$
            $B∩C=∅$ because B and C are incompatible?
            $endgroup$
            – user649882
            2 days ago










          • $begingroup$
            Exactly, that's how I read it.
            $endgroup$
            – Adrian Keister
            2 days ago










          • $begingroup$
            if I have $something∩0$ what is it equal to?
            $endgroup$
            – user649882
            2 days ago











          • $begingroup$
            The null set behaves like this: $Acupvarnothing=A$ for all sets $A,$ and $Acapvarnothing=varnothing$ for all sets $A.$
            $endgroup$
            – Adrian Keister
            2 days ago










          • $begingroup$
            If $P(A) = 1/2, P(B ∩ C) = 1/4, P(A ∩ C) = 0$ how do I find $P (A ∪ (overlineoverlineB ∪ overlineC))$?
            $endgroup$
            – user649882
            2 days ago
















          $begingroup$
          $B∩C=∅$ because B and C are incompatible?
          $endgroup$
          – user649882
          2 days ago




          $begingroup$
          $B∩C=∅$ because B and C are incompatible?
          $endgroup$
          – user649882
          2 days ago












          $begingroup$
          Exactly, that's how I read it.
          $endgroup$
          – Adrian Keister
          2 days ago




          $begingroup$
          Exactly, that's how I read it.
          $endgroup$
          – Adrian Keister
          2 days ago












          $begingroup$
          if I have $something∩0$ what is it equal to?
          $endgroup$
          – user649882
          2 days ago





          $begingroup$
          if I have $something∩0$ what is it equal to?
          $endgroup$
          – user649882
          2 days ago













          $begingroup$
          The null set behaves like this: $Acupvarnothing=A$ for all sets $A,$ and $Acapvarnothing=varnothing$ for all sets $A.$
          $endgroup$
          – Adrian Keister
          2 days ago




          $begingroup$
          The null set behaves like this: $Acupvarnothing=A$ for all sets $A,$ and $Acapvarnothing=varnothing$ for all sets $A.$
          $endgroup$
          – Adrian Keister
          2 days ago












          $begingroup$
          If $P(A) = 1/2, P(B ∩ C) = 1/4, P(A ∩ C) = 0$ how do I find $P (A ∪ (overlineoverlineB ∪ overlineC))$?
          $endgroup$
          – user649882
          2 days ago





          $begingroup$
          If $P(A) = 1/2, P(B ∩ C) = 1/4, P(A ∩ C) = 0$ how do I find $P (A ∪ (overlineoverlineB ∪ overlineC))$?
          $endgroup$
          – user649882
          2 days ago


















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