Binomial Questions

Please read the following doc.Below is not important.(You are to work out the probabilities and fill them in the right column of the table. DON’T ROUND. Then show the total is 1. From the above table, fill in the following table, listing the values of a binomial random variable X that counts the number of people out of 3 who said they would vote for candidate A, and the probability of obtaining that value of X.)
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BUS 190 Spring 2018
Extra Credit Binomial
SHOW ALL YOUR WORK TO GET CREDIT. For example, giving a number for Var(X) without showing the
formula with the numbers plugged in will get you ) credit for this assignment.
Remember we had derived the following events and probabilities from the probability tree introducing
the binomial.
Outcome
Probability of Outcome
BBB
BBA
BAB
BAA
ABB
ABA
AAB
AAA
(0.6)3
(0.6)2(0.4)
(0.6)2(0.4)
(0.6)(0.4)2
(0.6)2(0.4)
(0.6)(0.4)2
(0.6)(0.4)2
(0.4)3
You fill in calculations
here
Total
You are to work out the probabilities and fill them in the right column of the table. DON’T ROUND.
Then show the total is 1.
From the above table, fill in the following table, listing the values of a binomial random variable X that
counts the number of people out of 3 who said they would vote for candidate A, and the probability of
obtaining that value of X.
X
P(X)
Total
Using the E(X) formula for a general random variable, find E(X) for this table.
Using the shortcut formula for binomial, show the result of the shortcut formula is the same as the E(X)
you got above.
Now, using the variance (mean squared deviation) formula for a general random variable X, find Var(X).
Now use the shortcut formula for variance of a binomial random variable and show it equals the Var(X)
you calculated above.

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