Analysis: 1. Does the theoretical probability match the empirical probability? Explain why this is or whether this poses a problem. 2. Fill in the blank: The Law of Large Numbers tells us that the empirical probability approaches the theoretical probability when 3. Explain how to change the Procedure for the Empirical Probability so that the empirical probability more closely resembles the theoretical probability. 4. Implement the change you proposed in the previous problem. Explain the results of this implementation below. (Include screenshots from StatCrunch.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 35E
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Analysis:
1. Does the theoretical probability match the empirical probability? Explain why this is or whether
this poses a problem.
2. Fill in the blank: The Law of Large Numbers tells us that the empirical probability approaches the
theoretical probability when
3. Explain how to change the Procedure for the Empirical Probability so that the empirical
probability more closely resembles the theoretical probability.
4. Implement the change you proposed in the previous problem. Explain the results of this
implementation below. (Include screenshots from StatCrunch.)
Conclusion:
In conclusion, this assignment demonstrates the difference between theoretical and empirical
probabilities. Theoretical probabilities are calculated based on the number of ways an event can occur
divided by the total number of possible outcomes. Empirical probabilities are calculated based on the
number of times an event actually occurs. By comparing the two, we can see how closely the outcomes of
an experiment match the expected probabilities.
Transcribed Image Text:Analysis: 1. Does the theoretical probability match the empirical probability? Explain why this is or whether this poses a problem. 2. Fill in the blank: The Law of Large Numbers tells us that the empirical probability approaches the theoretical probability when 3. Explain how to change the Procedure for the Empirical Probability so that the empirical probability more closely resembles the theoretical probability. 4. Implement the change you proposed in the previous problem. Explain the results of this implementation below. (Include screenshots from StatCrunch.) Conclusion: In conclusion, this assignment demonstrates the difference between theoretical and empirical probabilities. Theoretical probabilities are calculated based on the number of ways an event can occur divided by the total number of possible outcomes. Empirical probabilities are calculated based on the number of times an event actually occurs. By comparing the two, we can see how closely the outcomes of an experiment match the expected probabilities.
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