Math expectation equal to quantile

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I am trying to find any distribution corresponding to following:
E(X) = x_5, where
F(x_5) <= 0,05 ; F(x_5+0) >= 0,05
Is there any distributions having that speciality?
I tried to find the one among exponential dist., log-norm and so on but i didn`t succeed




statistics probability-distributions quantile




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  • Here's a MathJax tutorial :)
    – Shaun
    Jul 20 at 19:36










  • For instance, you can take $$P(X=-1)=P(X=1)=0.02, P(X=0)=0.96$$ with $x_5=EX=0$.
    – NCh
    Jul 24 at 4:16














up vote
-3
down vote

favorite












I am trying to find any distribution corresponding to following:
E(X) = x_5, where
F(x_5) <= 0,05 ; F(x_5+0) >= 0,05
Is there any distributions having that speciality?
I tried to find the one among exponential dist., log-norm and so on but i didn`t succeed




statistics probability-distributions quantile




share|cite|improve this question



















  • Here's a MathJax tutorial :)
    – Shaun
    Jul 20 at 19:36










  • For instance, you can take $$P(X=-1)=P(X=1)=0.02, P(X=0)=0.96$$ with $x_5=EX=0$.
    – NCh
    Jul 24 at 4:16












up vote
-3
down vote

favorite









up vote
-3
down vote

favorite











I am trying to find any distribution corresponding to following:
E(X) = x_5, where
F(x_5) <= 0,05 ; F(x_5+0) >= 0,05
Is there any distributions having that speciality?
I tried to find the one among exponential dist., log-norm and so on but i didn`t succeed




statistics probability-distributions quantile




share|cite|improve this question











I am trying to find any distribution corresponding to following:
E(X) = x_5, where
F(x_5) <= 0,05 ; F(x_5+0) >= 0,05
Is there any distributions having that speciality?
I tried to find the one among exponential dist., log-norm and so on but i didn`t succeed





statistics probability-distributions quantile





share|cite|improve this question










share|cite|improve this question




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asked Jul 20 at 17:55









Deily Angel

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  • Here's a MathJax tutorial :)
    – Shaun
    Jul 20 at 19:36










  • For instance, you can take $$P(X=-1)=P(X=1)=0.02, P(X=0)=0.96$$ with $x_5=EX=0$.
    – NCh
    Jul 24 at 4:16
















  • Here's a MathJax tutorial :)
    – Shaun
    Jul 20 at 19:36










  • For instance, you can take $$P(X=-1)=P(X=1)=0.02, P(X=0)=0.96$$ with $x_5=EX=0$.
    – NCh
    Jul 24 at 4:16















Here's a MathJax tutorial :)
– Shaun
Jul 20 at 19:36




Here's a MathJax tutorial :)
– Shaun
Jul 20 at 19:36












For instance, you can take $$P(X=-1)=P(X=1)=0.02, P(X=0)=0.96$$ with $x_5=EX=0$.
– NCh
Jul 24 at 4:16




For instance, you can take $$P(X=-1)=P(X=1)=0.02, P(X=0)=0.96$$ with $x_5=EX=0$.
– NCh
Jul 24 at 4:16















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