A jar contains 12 coins: 6 pennies, 2 nickels and 4 dimes. A child selects 2 coins at random without replacement from the jar. Let X be the sum of the value of the 2 coins. Determine the probability distribution of X. Please enter the values for x in increasing order. Round your answers to three decimal places, if necessary. Hint: If you are picking two different coins, remember that you can pick one first, then the other or the other way around, and you will still end up with the same two coins. x P/Y m) 2 0227 6 10 0.015 11 15 20 001

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A jar contains 12 coins: 6 pennies, 2 nickels and 4 dimes. A child selects 2 coins at random without
replacement from the jar. Let X be the sum of the value of the 2 coins. Determine the probability
distribution of X.
Please enter the values for x in increasing order. Round your answers to three decimal places, if necessary.
Hint: If you are picking two different coins, remember that you can pick one first, then the other or the
other way around, and you will still end up with the same two coins.
X
A.
P(X = x)
2
0.227
6
10
0.015
11
15
20
.091
If you were to randomly draw two coins from this jar, how many cents do you expect to have on average?
(Averages of discrete things CAN be decimals!)
Transcribed Image Text:A jar contains 12 coins: 6 pennies, 2 nickels and 4 dimes. A child selects 2 coins at random without replacement from the jar. Let X be the sum of the value of the 2 coins. Determine the probability distribution of X. Please enter the values for x in increasing order. Round your answers to three decimal places, if necessary. Hint: If you are picking two different coins, remember that you can pick one first, then the other or the other way around, and you will still end up with the same two coins. X A. P(X = x) 2 0.227 6 10 0.015 11 15 20 .091 If you were to randomly draw two coins from this jar, how many cents do you expect to have on average? (Averages of discrete things CAN be decimals!)
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