Probability. Distribution function
Distribution function is $$D(x)=sum_{k=1, kgeq x}^{infty} 2^{-k}$$.
We need to find $mathbb{P}_D({14}cup{15})$ and $mathbb{P}_D([0,5])$.
1) So I think $mathbb{P}_D({14}cup{15})= mathbb{P}_D({14})+ mathbb{P}_D({15})=D(14)+D(15)$ Is it right?
2) What about $mathbb{P}_D([0,5])$?
$mathbb{P}_D([0,5])=D(5)-D(0)$?
is $D(0) = 0$?
probability probability-theory probability-distributions
asked Nov 21 '18 at 7:47
Atstovas
697
add a comment |
Distribution function is $$D(x)=sum_{k=1, kgeq x}^{infty} 2^{-k}$$.
We need to find $mathbb{P}_D({14}cup{15})$ and $mathbb{P}_D([0,5])$.
1) So I think $mathbb{P}_D({14}cup{15})= mathbb{P}_D({14})+ mathbb{P}_D({15})=D(14)+D(15)$ Is it right?
2) What about $mathbb{P}_D([0,5])$?
$mathbb{P}_D([0,5])=D(5)-D(0)$?
is $D(0) = 0$?
probability probability-theory probability-distributions
asked Nov 21 '18 at 7:47
Atstovas
697
Is that an increasing function of $x$?
– Henry
Nov 21 '18 at 8:29
From the sum it is not look like increasing function. This information is everything I have
– Atstovas
Nov 21 '18 at 8:32
add a comment |
Distribution function is $$D(x)=sum_{k=1, kgeq x}^{infty} 2^{-k}$$.
We need to find $mathbb{P}_D({14}cup{15})$ and $mathbb{P}_D([0,5])$.
1) So I think $mathbb{P}_D({14}cup{15})= mathbb{P}_D({14})+ mathbb{P}_D({15})=D(14)+D(15)$ Is it right?
2) What about $mathbb{P}_D([0,5])$?
$mathbb{P}_D([0,5])=D(5)-D(0)$?
is $D(0) = 0$?
probability probability-theory probability-distributions
asked Nov 21 '18 at 7:47
Atstovas
697
Distribution function is $$D(x)=sum_{k=1, kgeq x}^{infty} 2^{-k}$$.
We need to find $mathbb{P}_D({14}cup{15})$ and $mathbb{P}_D([0,5])$.
1) So I think $mathbb{P}_D({14}cup{15})= mathbb{P}_D({14})+ mathbb{P}_D({15})=D(14)+D(15)$ Is it right?
2) What about $mathbb{P}_D([0,5])$?
$mathbb{P}_D([0,5])=D(5)-D(0)$?
is $D(0) = 0$?
probability probability-theory probability-distributions
probability probability-theory probability-distributions
asked Nov 21 '18 at 7:47
Atstovas
697
asked Nov 21 '18 at 7:47
Atstovas
697
asked Nov 21 '18 at 7:47
Atstovas
697
asked Nov 21 '18 at 7:47
Atstovas
697
asked Nov 21 '18 at 7:47
Atstovas
697
697
Is that an increasing function of $x$?
– Henry
Nov 21 '18 at 8:29
From the sum it is not look like increasing function. This information is everything I have
– Atstovas
Nov 21 '18 at 8:32
add a comment |
Is that an increasing function of $x$?
– Henry
Nov 21 '18 at 8:29
From the sum it is not look like increasing function. This information is everything I have
– Atstovas
Nov 21 '18 at 8:32
Is that an increasing function of $x$?
– Henry
Nov 21 '18 at 8:29
Is that an increasing function of $x$?
– Henry
Nov 21 '18 at 8:29
From the sum it is not look like increasing function. This information is everything I have
– Atstovas
Nov 21 '18 at 8:32
From the sum it is not look like increasing function. This information is everything I have
– Atstovas
Nov 21 '18 at 8:32
add a comment |
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Is that an increasing function of $x$?
– Henry
Nov 21 '18 at 8:29
From the sum it is not look like increasing function. This information is everything I have
– Atstovas
Nov 21 '18 at 8:32