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 2 years ago
P(X=1)= P(x=+1)=1/2P(X=0)
a) compute P(X=0)
b)compute Standand deviation funcion of x
c)draw cumulative distributive function of x
d) compute P(x=1 x>=0)
 2 years ago
P(X=1)= P(x=+1)=1/2P(X=0) a) compute P(X=0) b)compute Standand deviation funcion of x c)draw cumulative distributive function of x d) compute P(x=1 x>=0)

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Libniz
 2 years ago
Best ResponseYou've already chosen the best response.0P[x=1]+P(x=1)+P[x=0]=1 P[x=1]+P[x=1]=P[x=0] 2P[x=0]=1 P[x=0]=0.5 P[x=1]=P[x=1]=.25

wio
 2 years ago
Best ResponseYou've already chosen the best response.0Umm that first line is hard to read.

Libniz
 2 years ago
Best ResponseYou've already chosen the best response.0b) standard deviations of X E[x]=.25(1)+.25(1)+0(.5)=0 (E[x])^2=0 E[x^2]=.5 var[x]= .50=.5 standard deviation=.5

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.1your final answer for b is not correct

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.1d)\[P(X=1 X\ge0)=\frac{P(X=1,X\ge 0)}{P(X\ge 0)}\]

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.1\[P(X=1 X\ge0)=\frac{P(X=1,X\ge 0)}{P(X\ge 0)}=\frac{P(X=1)}{P(X\ge 0)}\]

Libniz
 2 years ago
Best ResponseYou've already chosen the best response.0what does the comma mean P(X=1,X≥0)?

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.1\[P(X=1 \text{ and } X\ge0)\]

Libniz
 2 years ago
Best ResponseYou've already chosen the best response.0product of the two then ?

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.1no...they are not independent

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.1\[P(X=1 \text{ and } X\ge0)=P(X=1)\]

Libniz
 2 years ago
Best ResponseYou've already chosen the best response.0oh, "and "means it has to satisfy both condition. x=1 is inside x>=0 ; so we choose x=1

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.1\[x\ge 0\Rightarrow x\in\{0,1\}\] \[\{1\}\cap\{0,1\}=\{1\}\]

Libniz
 2 years ago
Best ResponseYou've already chosen the best response.0\[\frac{P(X=1)}{P(X\ge 0)}\] 0.25  = 1/3 0.75

Libniz
 2 years ago
Best ResponseYou've already chosen the best response.0you are truly a great teacher; thanks sir @Zarkon
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