Given the probability model in the table below, what is the expected value of the random variable?
X 50 20 5
P(X) 0.1 0.3 0.6

Expected Value

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10th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
14
2.
FLASHCARD QUESTION
Front
If the expected value is negative, are you expected to win?
Back
no
3.
FLASHCARD QUESTION
Front
A coin is flipped 3 times. If you get tails once you get $5, tails twice you get $15, and tails on all three flips you get $40. What is the expected amount of money you will get?
Back
$12.50
4.
FLASHCARD QUESTION
Front
What is the expected value of a coin flip where Eva wins $4 for heads and loses $3 for tails?
Back
$0.50
5.
FLASHCARD QUESTION
Front
Find the mean (expected value) of the probability distribution.
Back
84.4
6.
FLASHCARD QUESTION
Front
Suppose you buy a ticket for $6 out of a lottery of 1000 tickets where the prize for the one winning is to be $800. How much money do you take home (after paying for it)?
Back
-$5.20
7.
FLASHCARD QUESTION
Front
Is paying $1.00 to roll a fair die with the understanding you will get $3.00 back rolling a 4 or a 2 a fair game?
Back
yes
8.
FLASHCARD QUESTION
Front
A student group sells 500 raffle tickets for $2 each. At the drawing the top prize will be a gift certificate for $100. Second prize will be a $50 gift card and there will be five 3rd prizes, each a $20 gift card. Do you expect to win or lose (on average)? How much?
Back
lose an average of $1.50
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