Question

The following table provides a probability distribution for the random variable ( oldsymbol{y} ). ( egin{array}{ll}y & f(y) \ 2 & 0.20 \ 4 & 0.30 \ 6 & 0.30 \ 9 & 0.20end{array} ) a. Compute ( E(y) ) (to 1 decimal). b. Compute ( operatorname{Var}(y) ) and ( sigma ) (to 2 decimals). ( operatorname{Var}(y) ) ( sigma )

          The following table provides a probability distribution for the random variable ( oldsymbol{y} ).
( egin{array}{ll}y & f(y) \ 2 & 0.20 \ 4 & 0.30 \ 6 & 0.30 \ 9 & 0.20end{array} )
a. Compute ( E(y) ) (to 1 decimal).
b. Compute ( operatorname{Var}(y) ) and ( sigma ) (to 2 decimals).
( operatorname{Var}(y) )
( sigma )
        
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The following table provides a probability distribution for the random variable ( oldsymboly ).
( eginarraylly     f(y)  2     0.20  4     0.30  6     0.30  9     0.20endarray )
a. Compute ( E(y) ) (to 1 decimal).
b. Compute ( operatornameVar(y) ) and ( sigma ) (to 2 decimals).
( operatornameVar(y) )
( sigma )

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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The following table provides a probability distribution for the random variable.
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Transcript

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00:01 Hello students we need to write here this is a table y and fy so basically if i write here for this in the first case what would be expected value e of y that is summation of y fy so basically if i write here 2 multiplied by 0 .04 multiplied by 4 multiplied by 4 multiplied by 0 .30 plus 7 multiplied by 0 .40 plus 8 multiplied by 0 .10 so this is 5 .0 as expected value and this is our v bar so now in the next case we need to find what would be our variance of y this must be summation of x square or we can say summation of y square fy minus expected value e of y raised to power 2 so this value is we need to write…
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