Fishing: Billfish Ocean fishing for billfish is very popular in the Cozumel region of Mexico. In World Record Game Fishes (published by the International Game Fish Association), it was stated that in the Cozumel region, about 44% of strikes (while trolling) result in a catch. Suppose that on a given day a fleet of fishing boats got a total of 24 strikes. What is the probability that the number of fish caught was: 12 or fewer? 5 or more? between 5 and 12?
Fishing: Billfish Ocean fishing for billfish is very popular in the Cozumel region of Mexico. In World Record Game Fishes (published by the International Game Fish Association), it was stated that in the Cozumel region, about 44% of strikes (while trolling) result in a catch. Suppose that on a given day a fleet of fishing boats got a total of 24 strikes. What is the
- 12 or fewer?
- 5 or more?
- between 5 and 12?
Grocery Stores: New Products The Denver Post stated that 80% of all new products introduced in grocery stores fail (are taken off the market) within 2 years. If a grocery store chain introduces 66 new products, what is the probability that within 2 years:
- 47 or more fail?
- 58 or fewer fail?
- 15 or more succeed?
- fewer than 10 succeed?
Crime: Murder What are the chances that a person that is murdered actually knew the murderer? The answer to this question explains why a lot of police detective work begins with relatives and friends of the victim! About 64% of the people who are murdered actually knew the person who committed the murder. (Chances: Risk and Odds in Everyday Life by James Burke) Suppose that a detective file in New Orleans has 63 current unsolved murders. What is the probability that:
- at least 35 of the victims knew their murderers?
- at most 48 of the victims knew their murderers?
Basic Computation: distribution Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.
- Suppose and . Can we approximate the distribution by a
normal distribution ? Why? What are the values of and ? - Suppose and . Can we safely approximate the distribution by a normal distribution? Why or why not?
- Suppose and . Can we approximate the distribution by a normal distribution? Why? What are the values of and ?
Basic Computation: distribution Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.
- Suppose and . Can we approximate the distribution by a normal distribution? Why? What are the values of and ?
- Suppose and . Can we safely approximate the distribution by a normal distribution? Why or why not?
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