SOLUTION: a random variable X has the following probability distribution. x|1|2|3|4|5| p(x=x)|1/15|a|1/5|b|1/3| if E(x)=11/3 find the values of a and b

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Question 634051: a random variable X has the following probability distribution.
x|1|2|3|4|5|
p(x=x)|1/15|a|1/5|b|1/3|
if E(x)=11/3 find the values of a and b
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

if E(x)=11/3 find the values of a and b

Two unknowns, needs 2 EQs... to find a and b

I.   or 

II. comes from the E(x) =  or 

 a +  b = 2/5

2a + 4b = 4/3     |Verify the 2 Eqs and Solve for a and b  

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