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The assembly time for a product is uniformly distributed between 6 and 10 minutes. What is the standard deviation of the assembly time (in minutes)?

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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.

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