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Answer :
Final answer:
The approximate probability that the price of gasoline is over $4.69 is 15.87%.
Explanation:
The approximate probability that the price of gasoline is over $4.69, we can use the 68-95-99.7 rule, also known as the empirical rule. This rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
In this case, the mean is $4.59 and the standard deviation is $0.10. To calculate the probability of the price being over $4.69, we need to find the area to the right of $4.69 on the normal distribution curve.
Using a Z-score table or a calculator, we can find that the Z-score for $4.69 is (4.69 - 4.59) / 0.10 = 1.
Using the Z-score, we can determine that the probability of the price being over $4.69 is approximately 1 - 0.8413 = 0.1587, or 15.87%.
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