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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.
| \( x \) | 2 | 6 | 10 | 11 | 15 | 20 |
|--------------|----------|----------|----------|----------|----------|----------|
| \( P(X = x) \) | 0.227 ✓ | | 0.015 ✓ | | | 0.091 ✓ |
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!)*
[Answer Input Box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8f5de5c0-4789-4438-ad2e-39c0209f7c7c%2F9f498678-6607-4002-bf7a-47f3a897bb56%2F2z26449_processed.png&w=3840&q=75)
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.
| \( x \) | 2 | 6 | 10 | 11 | 15 | 20 |
|--------------|----------|----------|----------|----------|----------|----------|
| \( P(X = x) \) | 0.227 ✓ | | 0.015 ✓ | | | 0.091 ✓ |
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!)*
[Answer Input Box]
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