(New page: '''Set-Up:''' * Suppose you have a machine that produces random coins. (Thus, the probability of taking a coin from the machine, tossing it, and getting a 'heads' is a random variable. * ...) |
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| Line 4: | Line 4: | ||
* If Q = q then P(H|Q=q) = q | * If Q = q then P(H|Q=q) = q | ||
| + | * Below graph: | ||
| + | f<sub>Q</sub>(q) vs q | ||
* [[Image:RVCoinMach.JPG _ECE302Fall2008sanghavi]] | * [[Image:RVCoinMach.JPG _ECE302Fall2008sanghavi]] | ||
'''Question:''' | '''Question:''' | ||
| + | * Suppose you take a coin from the Random Coin Machine and toss is. What is the probability of flipping a heads? | ||
| + | * P(H) = <math>= \int_{0}^{1}P(H|Q=q)*f<sub>Q</sub>(q) dq</math><br> | ||
'''Answer:''' | '''Answer:''' | ||
Revision as of 04:38, 11 October 2008
Set-Up:
- Suppose you have a machine that produces random coins. (Thus, the probability of taking a coin from the machine, tossing it, and getting a 'heads' is a random variable.
- Suppose fQ(q)= 2q for 0<q<1
- If Q = q then P(H|Q=q) = q
- Below graph:
fQ(q) vs q
Question:
- Suppose you take a coin from the Random Coin Machine and toss is. What is the probability of flipping a heads?
- P(H) = $ = \int_{0}^{1}P(H|Q=q)*f<sub>Q</sub>(q) dq $
Answer:
