# Question: Using Example 4 4 2 a Determine the variances of X and Y b

Using Example 4.4-2,

(a) Determine the variances of X and Y.

(b) Find P(−X ≤ Y).

(a) Determine the variances of X and Y.

(b) Find P(−X ≤ Y).

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

Using the background of Example 4.4-4, calculate the means and variances of X and Y. For a freshman taking introductory statistics and majoring in psychology, let X equal the student’s ACT mathematics score and Y the student’s ACT verbal score. Assume that X and Y have a bivariate normal distribution ...Let X have a logistic distribution with pdf Show that Has a U(0, 1) distribution. Let X1 and X2 have independent gamma distributions with parameters α, θ and β, θ, respectively. Let W = X1/(X1 + X2). Use a method similar to that given in the derivation of the F distribution (Example 5.2-4) to show ...Let X1 and X2 be a random sample of size n = 2 from the exponential distribution with pdf f(x) = 2e−2x, 0 < x < ∞. Find (a) P(0.5 < X1 < 1.0, 0.7 < X2 < 1.2). (b) E[X1(X2 − 0.5)2].Post your question