Question
The fisherman releases the fish back into the pond, came back the next few days and caught 10 fish each day, releasing the fish at
The fisherman releases the fish back into the pond, came back the next few days and caught 10 fish each day, releasing the fish at the end of each day. Record the results below. Record the data above for Day 1.(Your Gizmo screen should be on theCALCULATEtab.Tagged fish in pondshould be set to 100 andFish to catchshould be set to 10.)PressCatch and checkand then record the data for Day 2. Repeat the process for days 3 and 4.
Number of fish tagged
out of 10 fish caughtExperimental probability of catching a tagged fish.Estimated number offish in pond
(Round to the nearest fish)Day 1Answer
Answer
%Answer
1000
500
333
250
200
167
143
142
125
111
100
Day 2Answer
Answer
%Answer
1000
500
333
250
200
167
143
142
125
111
100
Day 3Answer
Answer
%Answer
1000
500
333
250
200
167
143
142
125
111
100
Day 4Answer
Answer
%Answer
1000
500
333
250
200
167
143
142
125
111
100
Are the estimated populationsconsistent(hover over the word to see the definition)?
Answers will vary among students, but more than likely, your answers were not very consistent.
Based on the data collected over 4 days, the population of fish in the pond is betweenAnswer
142
333
500
200
143
1000
111
250
167
100
125
(select the smallest number) andAnswer
500
333
125
111
143
200
1000
250
167
100
142
(select the largest number).
What do you guess the population of fish in the pond to be?
Answers will vary, but your answer should be in the interval that you provided in the previous question.
Click on the POND tab and Check theShow total fish in pondbox.Did you guess the population size,N
N, correctly?
Answer
No
Yes
Since we did not know the population size, we had to guess based on the sample, or in our case samples. Can you think of something we could do to get more consistent and accurate estimates of the population of fish in the pond? (HINT: Think about the Law of Large Numbers.)
We couldAnswer
decrease
increase
our sample size. Based on the Law of Large Numbers, the larger the sample, the closer experimental probability will get toAnswer
probability.
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Calculus Graphical, Numerical, Algebraic
Authors: Ross L. Finney, Franklin D. Demana, Bert K. Waits, Daniel Kennedy
3rd Edition
0132014084, 978-0132014083
