a = 0.1 and B = 0.9. 21. A uniform distribution has parameters P(0.23 < X...
21.A uniform distribution has parameters a = 0.1 and B = 0.9. P(0.23 < X < 0.67) =
A uniform distribution has parameters alpha = 0.1 and beta = 0.9. P(0.23 < X < 0.67) = _______________________
17. Find the mean of X given Y = - The joint probability density function is f(x, y) for random variables X and Y. #x, y) = f (xy + y) 0<x<1,0<y<1 0 Elsewhere = 21. A uniform distribution has parameters a = 0.1 and B = 0.9. P(0.23 < X < 0.67) = 13. At a company, 75% of the employees pass a screening test to see if they need additional training. Of those that pass the screening test,...
Consider the following cumulative distribution function for X. 7 0.1 08 0.9 1.0 Fo) 0.3 0.6 (i) Determine the probability distribution. ii) Find P(X < 1). iii Find P(0 <XS5).
8 otherwise for some constant k. Find: a) the marginal distribution of Y; b) P(Z<}\Y = ). 8. The random variable X has a uniform distribution on (0,1). Given that X = 1, the random variable Y is binomial with parameters n = 5 and p = r. a) Find E(Y) and E(Y?). b) Find P(Y = y and a < X < = + dx). c) Find the density of X given Y = y. Do you recognize it?...
For a standard normal distribution, find: P(0.61 < z < 2.92)
3. Let X and Y have a bivariate normal distribution with parameters x -3 , μΥ 10, σ 25, 9, and ρ 3/5. Compute (c) P(7<Y < 16). (d) P(7 < Y < 161X = 2).
For a standard normal distribution, find: P(Z < c) = 0.2523 Find c.
Question No. 6 Suppose that the random variable X has the following uniform distribution: 2 f(x)= 3 ,other wise (18) P(0.33 < X < 0.5) = (A) 0.49 (B) 0.51 (C) 0 (D) 3 (19) P(X> 1.25) = (A) 0 (B) 1 (С) 0.5 (D) 0.33 (20) The variance of X is (A) 0.00926 (B) 0.333 (C) 9 (D) 0.6944
4. Suppose X has a discrete uniform distribution: the distribution function of X 5. A random variable Z has the pmf bclow. P (X-х,)-1 , is|2 n. Find 0 Pz(z) 0.20 0.16 0.4 a (1) What is thevalue of a ? (2) What is P(l S Z <3)? (3) What is Fz (1.7)? 6.