3
(a)
0.3192
(b)
0.9544
(c)
P(Z > -.54) = 0.9382
b = -1.54
(d) 0.61
(e)
A 0.05 = 1.645
3. Let Z be a continuous random variable with Z-N(0,1). (a) Find the value of P(Z...
3. Let Z be a continuous random variable with Z~ N(0, 1) (a) Find the value of P(Z -0.47) (b) Find the value of P(|Z|< 2.00). Note | denotes the absolute value function. (c) Find b such that P(Z > b) = 0.9382 (d) Find the 27th percentile. (e) Find the value of the critical value zo.05
3. Let Z be a continuous random variable with Z~ N(0, 1) (a) Find the value of P(Z < -0.47) (b) Find the value of P(|Z| < 2.00). Note denotes the absolute value function (c) Find b such that P(Z > b) = 0.9382 (d) Find the 27th percentile. (e) Find the value of the critical value z0.05
8. Let X.(i-12) be independent N(0,1) random variables. a. Find the value of c such that P ( (X1 + X2尸/( X2-X)2 < c ) =.90 b. Find P(2 X1 -3 X21.5) c. Find 95th percentile of the distribution of Y-2X -3X2
8. Let X (i-1,2) be independent N(0,1) random variables. a. Find the value of c such that P ( (X1 + X2 )2/( X2 -X1)2 < c ) =.90 b. Find P(2 X1 -3 X2< 1.5) c. Find 95th percentile of the distribution of Y-2 X1 -3 X2
4. Let Z ~ N(0,1) be a standard normal variable. Calculate the probability (a) P(1 <Z < 2). (b) P(-0.25 < < < 0.8). (c) P(Z = 0). (d) P(Z > -1).
Question #37 Let X be a continuous random variable with the following density function: p(-x+ /2) for - 0<x<00. Calculate E[X | X > 0). Possible Answers B 1/727 © 12 D/2TR Ⓡ 1.00
Please explain Let Z N(0,1), and let X = max(Z, 0) 1. Find Fx in terms of Φ(t). Ís X a continuous random variable ? 2. Compute p(X0) 3. Compute E(X) . Find the PDF fxa(u) 5. Compute V(X) (Hint: use fxa found above Let Z N(0,1), and let X = max(Z, 0) 1. Find Fx in terms of Φ(t). Ís X a continuous random variable ? 2. Compute p(X0) 3. Compute E(X) . Find the PDF fxa(u) 5. Compute...
Let Y be a continuous random variable with the following cumulative distribution function: for y <a 1-e-0.5(y-a)", for y>a where a is a constant. What is the 75th percentile of Y? F(y)= ŞO, Possible Answers [ A ]F(0.75) Ba-v2ln(4/3) ca+ √2ln(4/3) Da-2/in2 Ea+2 Vina
4. Let X be a continuous random variable with probability density function: x<1 0, if if| if x>4 f(x) = (x2 + 1), 4 x 24 0 Find the standard deviation of random variable X.
Let the random variable Z follow a standard normal distribution. Find P(-2.35 < Z< -0.65). Your Answer: