# Question: If X is uniformly distributed over 1 1 find a P X

If X is uniformly distributed over (−1, 1), find

(a) P{|X| > 1/2};

(b) the density function of the random variable |X|.

(a) P{|X| > 1/2};

(b) the density function of the random variable |X|.

**View Solution:**## Answer to relevant Questions

If Y is uniformly distributed over (0, 5), what is the probability that the roots of the equation 4x2 + 4xY + Y + 2 = 0 are both real? Consider Example 4b of Chapter 4, but now suppose that the seasonal demand is a continuous random variable having probability density function f. Show that the optimal amount to stock is the value s∗ that satisfies F(s∗) ...If X is an exponential random variable with mean 1/λ, show that E[Xk] = k! / λk k = 1, 2, . . . Find the probability density function of Y = eX when X is normally distributed with parameters μ and σ2. The random variable Y is said to have a lognormal distribution (since log Y has a normal distribution) with ...Two points are selected randomly on a line of length L so as to be on opposite sides of the midpoint of the line. [In other words, the two points X and Y are independent random variables such that X is uniformly distributed ...Post your question