Suppose X is a continuous random variable with the following probability density function: (ce-4x, x ≥ 0 f(x): = = 0, el
Posted: Thu May 05, 2022 8:07 pm
Suppose X is a continuous random variable with the following probability density function: (ce-4x, x ≥ 0 f(x): = = 0, else where c is a positive constant. a. Find c. b. Find the cumulative distribution function of X, F(x). c. Find P(2 < X < 5). Now, let X be a continuous random variable with the following cumulative distribution function: 0, x<-2 no-√2-214-23 +4+ F(x)= = 4x 1, 2≤x d. Find the probability of X which is less than or equal to 0. e. Find the median, $0.5, of X. f. Find the probability density function and calculate f(1). -2≤x<2