Chapters 17 - 20 Examples

Chapters 17 - 20 Examples - Chapters 17 20 Notes Examples...

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Chapters 17 – 20 Notes Examples Page 1 of 4 Example of a Random Phenomenon that Leads to Probabilities Experiment – We flip two coins simultaneously and record the number of heads that occur. Possible Outcomes: 0H 1H 2H Repeat experiment 200 times. Summary of Results: 0 H 1H 2H 53 104 43 Calculate the experimental probability for the occurrence of 1H. = = 200 104 ) 1 ( H P 0.52 or 52% What is the theoretical probability? = = 4 2 ) 1 ( H P 0.5 or 50% Example: Rolling a Die There are 6 outcomes and each outcome is equally likely to appear. The probability of any one outcome is 1/6. Let A = the die lands on an even number. A = {2, 4, 6} What is A c ? A c = {1, 3, 5} Find P(A). = = 6 3 ) ( A P 1/2 Find P(A c ). = = = 6 3 1 ) ( 1 ) ( A P A P c 1/2
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Chapters 17 – 20 Notes Examples Page 2 of 4 Let B = the die lands on at most 4. B = {1, 2, 3, 4} What is B c ? B c = {5, 6} Find P(B). = = 6 4 ) ( B P 2/3 Find P(B c ). = = = 6 4 1 ) ( 1 ) ( B P B P c 1/3 Are A and B mutually exclusive? No – events A and B can occur at the same time (have outcomes in common).
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This note was uploaded on 02/14/2011 for the course STAT 110 taught by Professor Johnson during the Fall '07 term at South Carolina.

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Chapters 17 - 20 Examples - Chapters 17 20 Notes Examples...

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