Final answer:
To predict a final exam score from a third exam score using the given regression formula, we plug the third exam score into the equation.
Step-by-step explanation:
The subject at hand appears to be mathematics, particularly in the area of statistics or probability. The calculation involves predicting a student's final exam score based on their score on a third exam, using a given linear regression equation.
Based on the regression equation provided, 173.51 + 4.83(73) = 179.08, we can predict a student's final exam score given a different score on the third exam by replacing 73 with the new score in the equation. For instance, if a student scored a 90 on the third exam, we would calculate the predicted final exam score by plugging 90 into the equation: 173.51 + 4.83(90) = 173.51 + 435 = 608.51, which seems to be an unreasonably high score, indicating there might have been a mistake in the offered information.
Another example using a score of 66 on the third exam would be 173.51 + 4.83(66) = 173.51 + 318.78 = 492.29, which also results in an unreasonably high prediction. Therefore, there might be an error in the provided context or calculation.
The final part of your request about calculating the probability of passing a true-false quiz by guessing is an entirely different statistical problem involving binomial probabilities. To pass with at least a 70%, the student would need to get at least 7 out of 10 questions correct, which requires calculating the probability of guessing correctly 7, 8, 9, or 10 questions accurately and then summing those probabilities.