The standard deviation of a uniformly distributed random variable between 0 and 1 can be calculated using the formula for the standard deviation of a uniform distribution, which is sqrt((b-a)²/12), where a and b are the lower and upper limits of the distribution, respectively.

Step 1: Identify a and b. In this case, a = 0 and b = 1.

Step 2: Substitute a and b into the formula. This gives sqrt((1-0)²/12) = sqrt(1/12).

Step 3: Calculate the square root of 1/12. The standard deviation is approximately 0.2887.

Question

The standard deviation of a uniformly distributed random variable between 0 and 1 can be calculated using the formula for the standard deviation of a uniform distribution, which is sqrt((b-a)²/12), where a and b are the lower and upper limits of the distribution, respectively.

Step 1: Identify a and b. In this case, a = 0 and b = 1.

Step 2: Substitute a and b into the formula. This gives sqrt((1-0)²/12) = sqrt(1/12).

Step 3: Calculate the square root of 1/12. The standard deviation is approximately 0.2887.

Knowee AI · Accepted Answer

The standard deviation of a uniformly distributed random variable between 0 and 1 can be calculated using the formula for the standard deviation of a uniform distribution, which is sqrt((b-a)²/12), where a and b are the lower and upper limits of the distribution, respectively.

Step 1: Identify a and b. In this case, a = 0 and b = 1.

Step 2: Substitute a and b into the formula. This gives sqrt((1-0)²/12) = sqrt(1/12).

Step 3: Calculate the square root of 1/12. The standard deviation is approximately 0.2887.

The standard deviation of a uniformly distributed random variable between 0 and 1 is

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The standard deviation of a uniformly distributed random variable between 0 and 1 is

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