Final answer:
The standard deviation for a uniform distribution U(110, 180) is calculated using the formula √((b - a)^2 / 12), and the result is approximately 20, which corresponds to option B.
Step-by-step explanation:
To find the standard deviation for a uniform continuous distribution U(a, b), you can use the formula: standard deviation = \(\frac{b - a}{\sqrt{12}}\). In the case of U(110, 180), the calculation would be:
Standard deviation = \(\frac{180 - 110}{\sqrt{12}}\) = \(\frac{70}{\sqrt{12}}\) = \(\frac{70}{3.4641}\) \approx 20.2.
The closest answer to 20.2 is 20, which corresponds to option B.
Therefore, the standard deviation for the given uniform distribution U(110, 180) is approximately 20.