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Observe that for a random variable Y that takes on values 0 and 1, the expected value of Y is defined as follows: E(Y)=0times Pr(Y

Observe that for a random variable

Y

that takes on values 0 and 1, the expected value of

Y

is defined as follows:\

E(Y)=0\\\\times Pr(Y

)

=

(

0)+1\\\\times Pr(Y

)

=

(

1)

\ Now, suppose that

x

is a Bernoull random variable with success probability

Pr(x

)

=

(

1)=p

. Use the information above to answer the following questions.\ Show that

E(x^(2))=p

.\

{

(

:E(x^(2))=,x+1,xp)=

}\ (Use the tool palette on the right to insert superscripts. Enter you answer in the same format as above)

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Observe that for a random variable Y that takes on values 0 and 1 , the expected value of Y is defined as follows: E(Y)=0Pr(Y=0)+1Pr(Y=1) Now, suppose that X is a Bernoulli random variable with success probability Pr(X=1)=p. Use the information above to answer the following questions. Show that E(x2)=p. E(x2)=x+1xp)= (Use the tool palette on the right to insert superscripts. Enter you answer in the same format as above) Observe that for a random variable Y that takes on values 0 and 1 , the expected value of Y is defined as follows: E(Y)=0Pr(Y=0)+1Pr(Y=1) Now, suppose that X is a Bernoulli random variable with success probability Pr(X=1)=p. Use the information above to answer the following questions. Show that E(x2)=p. E(x2)=x+1xp)= (Use the tool palette on the right to insert superscripts. Enter you answer in the same format as above)

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