Uniform Distribution

What is a continuous random variable?

• A random variable that can take on any value within a given interval

• A random variable that can only take on a finite number of values

• A random variable that can only take on integer values

• A random variable that can only take on binary values

What is a discrete random variable?

• A random variable that can take on any value within a given interval

• A random variable that can only take on a finite number of values

• A random variable that can only take on integer values

• A random variable that can only take on binary values

What is the formula for the uniform probability density function?

• f(x) = 1 / (b - a) for a ≤ x ≤ b, otherwise 0

• f(x) = 1 / (b - a) for a < x < b, otherwise 0

• f(x) = 1 / (b - a) for a ≤ x < b, otherwise 0

• f(x) = 1 / (b - a) for a < x ≤ b, otherwise 0

What is the expected value (mean) of a continuous uniform random variable?

• a + b / 2

• a - b / 2

• (a + b) / 2

• (a - b) / 2

What is the standard deviation of a continuous uniform random variable?

• (b - a) / √12

• (b - a) / 2

• (b - a) / 6

• (b - a) / 4