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P(Hit) P(Miss) P(FA) P(CR) d' ß

P(Hit) P(Miss) P(FA) P(CR) d' ß

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Captain Jack Sparrow has charged his first mate, Mr. Gibbs, with sitting in the crow's nest to keep an eye out for ships from the British Royal Navy. Over the course of a year, Mr. Gibbs sits diligently in the crow's nest and waits for the captain's call. Whenever Jack is wary of enemy ships, he calls up to Mr. Gibbs and asks for a report. Mr. Gibbs does his best to discern enemy ships from outcroppings of rocks, but he isn't always perfect. After a successful raid on a British outpost, Jack finds ship records of all the British ships in the Caribbean that dates back several years. Captain Jack then approaches you, a lowly deckhand known for being "witty", and commands you to evaluate Mr. Gibbs' work over the last year by comparing Mr. Gibbs' declarations against the record. Here's how the records breaks down: 45 times, Mr. Gibbs yelled "A SHIP CAPT'N!!" and there was in fact a British naval ship present. 70 times, Mr. Gibbs yelled "JUST ROCKS CAPT'N!!" and there was no British ship, so it must have just been rocks. 30 times, Mr. Gibbs yelled "A SHIP CAPT'N!!" and there was no British ship, so it must have just been rocks. 5 times, Mr. Gibbs yelled "JUST ROCKS CAPT'N!!" and there was in fact a British naval ship present. Find each of the following (show full work/equations): P(Hit) P(Miss) P(FA) P(CR) d' ß
Transcribed Image Text:Captain Jack Sparrow has charged his first mate, Mr. Gibbs, with sitting in the crow's nest to keep an eye out for ships from the British Royal Navy. Over the course of a year, Mr. Gibbs sits diligently in the crow's nest and waits for the captain's call. Whenever Jack is wary of enemy ships, he calls up to Mr. Gibbs and asks for a report. Mr. Gibbs does his best to discern enemy ships from outcroppings of rocks, but he isn't always perfect. After a successful raid on a British outpost, Jack finds ship records of all the British ships in the Caribbean that dates back several years. Captain Jack then approaches you, a lowly deckhand known for being "witty", and commands you to evaluate Mr. Gibbs' work over the last year by comparing Mr. Gibbs' declarations against the record. Here's how the records breaks down: 45 times, Mr. Gibbs yelled "A SHIP CAPT'N!!" and there was in fact a British naval ship present. 70 times, Mr. Gibbs yelled "JUST ROCKS CAPT'N!!" and there was no British ship, so it must have just been rocks. 30 times, Mr. Gibbs yelled "A SHIP CAPT'N!!" and there was no British ship, so it must have just been rocks. 5 times, Mr. Gibbs yelled "JUST ROCKS CAPT'N!!" and there was in fact a British naval ship present. Find each of the following (show full work/equations): P(Hit) P(Miss) P(FA) P(CR) d' ß
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