Final answer:
The standard deviation of the length of stay is approximately 0.217 hours.
Step-by-step explanation:
To find the standard deviation of the length of stay in this case, we can use the formula:
standard deviation = 1 / mean
Given that the mean length of stay is 4.6 hours, we can substitute it into the formula:
standard deviation = 1 / 4.6
standard deviation ≈ 0.217
Therefore, the standard deviation of the length of stay is approximately 0.217 hours.