# Question

Let X be a random variable with probability density function

(a) What is the value of c?

(b) What is the cumulative distribution function of X?

(a) What is the value of c?

(b) What is the cumulative distribution function of X?

## Answer to relevant Questions

Trains headed for destination A arrive at the train station at 15-minute intervals starting at 7 A.M., whereas trains headed for destination B arrive at 15-minute intervals starting at 7:05 A.M. (a) If a certain passenger ...Suppose that X is a normal random variable with mean 5. If P{X > 9} = .2, approximately what is Var(X)? Each item produced by a certain manufacturer is, independently, of acceptable quality with probability .95. Approximate the probability that at most 10 of the next 150 items produced are unacceptable. If X is uniformly distributed over (−1, 1), find (a) P{|X| > 1/2}; (b) the density function of the random variable |X|. Let Z be a standard normal random variable Z, and let g be a differentiable function with derivative g′. (a) Show that E[g′(Z)] = E[Zg(Z)] (b) Show that E[Zn+1] = nE[Zn−1] (c) Find E[Z4].Post your question

0