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The problem involves a normal distribution of prices for a specific HD television model. The mean price is $1200, and the standard deviation is $60. We can use properties of the normal distribution to calculate approximate percentages for each question.

Here is the breakdown for solving each:

1. **Percentage of buyers who paid between $1080 and $1200:**
   - $1080 is $1200 - 2 \times 60 = 2$ standard deviations below the mean.
   - According to the empirical rule (68-95-99.7 rule), 95% of data lies within 2 standard deviations from the mean, so from $ \mu - 2\sigma $ to $ \mu + 2\sigma $, 95% of the data lies.
   - Since $1080 to $1200 is from the mean down to 2 standard deviations, it's half of 95%, which is approximately **47.5%**.

2. **Percentage of buyers who paid between $1200 and $1260:**
   - $1260 is $1200 + 1 \times 60 = 1$ standard deviation above the mean.
   - The empirical rule tells us that 68% of the data lies within 1 standard deviation from the mean. Therefore, the percentage of people who paid between $1200 and $1260 is half of this (because it's only one side of the mean), so **34%**.

3. **Percentage of buyers who paid less than $1020:**
   - $1020 is $1200 - 3 \times 60 = 3$ standard deviations below the mean.
   - From the empirical rule, 99.7% of the data lies within 3 standard deviations of the mean. Therefore, only 0.3% of the data lies outside this range, and since we are only interested in the lower side, it is half of 0.3%, which is **0.15%**.

4. **Percentage of buyers who paid between $1020 and $1200:**
   - This is the range from 3 standard deviations below the mean to the mean. From the total 50% of data below the mean, we subtract the 0.15% of data below $1020. So, **49.85%**.

5. **Percentage of buyers who paid more than $1320:**
   - $1320 is \(1200 + 2 \times 

The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is $1200 and the standard deviation is $60. What is the approximate percentage of buyers who paid between $1080 and $1200, between $1200 and $1260, less than $1020, between $1020 and $1200, more than $1320, and between $1140 and $1260?

Explore a normal distribution problem for HD television prices. The mean price is $1200 with a standard deviation of $60. Calculate percentages for price ranges using the empirical rule (68-95-99.7).

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