PYQs Based Test - 19 : Uniform and Exponential Distribution

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

Let X₁ and X₂ be two independent exponentially distributed random variables with means 0.5 and 0.25, respectively. Then Y = min (X₁, X₂) is

The number of parameters in the univariate exponential and Gaussian distributions, respectively are

For the function f(x) = a + bx, 0 ≤ x ≤ 1, to be a valid probability density function, which one of the following statements is correct?

X is a random variable with a uniform probability density function in the interval [-2, 10]. For Y = 2X – 6, the conditional probability P(Y ≤ 7 | X ≥ 5) (rounded off to three decimal places) is