Final answer:
The standard deviation of the uniformly distributed assembly time between 6 and 10 minutes is approximately 1.155 minutes.
Step-by-step explanation:
The standard deviation of a uniformly distributed random variable can be found using the formula σ = (b-a)/√12, where σ is the standard deviation, and a and b are the minimum and maximum values of the distribution, respectively. In this case, the assembly time is uniformly distributed between 6 minutes (a) and 10 minutes (b).
Using the formula, we calculate as follows:
σ = (10-6)/√12σ = 4/√12σ ≈ 1.155
Therefore, the standard deviation of the assembly time is approximately 1.155 minutes.