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Unformatted text preview: )) ( ) 2 ( ) 1 (( n foot in rock no foot in rock no foot in rock no P K Since striking a rock in each foot can be treated as independent events, this probability can be rewritten as the product of the individual event probabilities ) ( ) 2 ( ) 1 ( n foot in rock no P foot in rock no P foot in rock no P K The probability of striking a rock for each foot is p, so the probability of not striking a rock in (1-p) for each foot. The probability of making it to n feet is then n p bedrock reaching P ) 1 ( ) ( = For p=1/20 and n=10 feet, 5987 . ) 05 . 1 ( ) ( 10 = bedrock reaching P For p=1/20 and n=20 feet, 3585 . ) 05 . 1 ( ) ( 20 = bedrock reaching P For p=1/10 and n=10 feet, 3487 . ) 1 . 1 ( ) ( 10 = bedrock reaching P For p=1/10 and n=20 feet, 1216 . ) 1 . 1 ( ) ( 20 = bedrock reaching P...
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This document was uploaded on 02/05/2011.
- Spring '11