Question 1200797
**1. Understand Chebyshev's Theorem**

* Chebyshev's Theorem states that for any data set (regardless of its distribution), at least 1 - (1/k²) of the data values will fall within k standard deviations of the mean.

**2. Determine the k value**

* We are given that at least 48/49 of the cigarettes fall within the desired range. 
* Therefore, 1 - (1/k²) = 48/49
* Solving for k:
    * 1/k² = 1 - 48/49 = 1/49
    * k² = 49
    * k = 7

**3. Calculate the lower and upper bounds**

* Lower bound: Mean - k * Standard Deviation = 1.52 - 7 * 0.07 = 1.52 - 0.49 = 1.03 mg
* Upper bound: Mean + k * Standard Deviation = 1.52 + 7 * 0.07 = 1.52 + 0.49 = 2.01 mg

**Conclusion**

According to Chebyshev's Theorem, at least 48/49 of the cigarettes of this brand must have nicotine content between **1.03 mg and 2.01 mg**.