6) ### Problem StatementIn a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 38 and a standard deviation of 3. Using the empirical rule, what is the approximate percentage of daily phone calls numbering between 29 and 47?#### Input Section- Do not enter the percent symbol. - **ans =** [Text box for answer in percentage][Submit Question Button]### Explanation of Empirical Rule and SolutionThe empirical rule (also known as the 68-95-99.7 rule) is used in statistics to determine the percentage of values that lie within a certain number of standard deviations from the mean in a normal distribution:1. **68% of values** fall within **1 standard deviation** of the mean.2. **95% of values** fall within **2 standard deviations** of the mean.3. **99.7% of values** fall within **3 standard deviations** of the mean.#### Steps to Solve:1. **Identify Mean and Standard Deviation**: - Mean (μ): 38 - Standard Deviation (σ): 32. **Determine the Range Boundaries**: - Lower boundary = 29 - Upper boundary = 473. **Calculate the Number of Standard Deviations**: - From the mean to 29: (38 - 29) / 3 ≈ 3 standard deviations - From the mean to 47: (47 - 38) / 3 ≈ 3 standard deviations4. **Apply the Empirical Rule**: - Since both boundaries are within ±3 standard deviations (µ ± 3σ), nearly all (99.7%) of the data points fall within this range.Therefore, the approximate percentage of daily phone calls numbering between 29 and 47 is **99.7%**.### Additional Graphical Representation**The graph would display:**- A bell curve centered at 38 (mean).- Vertical lines at 29 and 47, indicating where these values lie on the X-axis.- Shaded area under the curve between 29 and 47, representing the percentage.#### Visualization Components:- **Bell Curve**: Symmetrical and centered at the mean (38).- **Standard Deviations (σ)**: Horizontal segments marking intervals

Name: 6) ### Problem StatementIn a mid-size company, the distribution of the
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Description: 6) ### Problem StatementIn a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 38 and a standard deviation of 3. Using the empirical rule, what is the ap