The random variable x has the following continuous probability distribution in the range 0 < x < a, as shown in figure below. f(x) (0, a) (a, 0) Find the value of a.

The cumulative distribution function of random variable X Is x 1. Fx (x) = II 1 Find: P(Xs1)And P(X=1) Select one: O a. 0.5 and 0.25 O b. 1 and 0.5 Ocl and 1 O d.0.5 and 0 Oe. 0.25 and 04 Clear my choice

A random variable T follows Exponential distribution. Which of the following expression shows the Memoryless property of Exponential Distribution (choose the most appropriate answer): a). P(T > t + s| T < s) = P(T > t) b). P(T < t + s| T > s) = P(T < t) c). P(T < t + s| T > s) = P(T < s) d). Both a) and b)