Problem # 10, Let X be a random variable with CDF: 0 (x + 5)2/144-5 <...

Question

Question

Problem # 10, Let X be a random variable with CDF: 0 (x + 5)2/144-5 < x < 7 Ex (x) = X(r Find E(X], , and E[X].

Answer 1

Answer #1

0 144 SS247 14 4 75 14 4 : 466 ± 120 216 936 + 86o 4 33

7 Х 7,2 - S 283 216 16 177 t 8340 288 &16 E(x3):ーしー2X3/ats).dm 72 72し5 36 o 19932 8880-653667 t%.!333 t 36 o z 28 8

Answer 2

Similar Homework Help Questions

The random variable X has CDF 0 <-1, Ex(x) = 0.2 -1 < 0, 0.7 0...

The random variable X has CDF 0 <-1, Ex(x) = 0.2 -1 < 0, 0.7 0 x<1, 1 21. (a) Draw a graph of the CDF (b) Write Px(), the PMF of X. Be sure to write the value of Px(a) for all r from-oo to oo. Given the random variable X in problem ii), let V g X)X. (a) Find P(v). (b) Find Fy(v). (c) Find EIV]
Let X be a random variable with CDF z<0 G()=/2 0 <IS2 z>2 1 Suppose Y...

Let X be a random variable with CDF z<0 G()=/2 0 <IS2 z>2 1 Suppose Y = X2 is another random variable, find (a) P(1/2 X 3/2), (b) P(1s X< 2) (c) P(Y X) (d) P(X 2Y). (f) If Z VX, find the CDF of Z. (d) P(X+Y 3/4)
2. A random variable X has a cdf given by F(x) = 1 . x <...

2. A random variable X has a cdf given by F(x) = 1 . x < 0 0 < x < 1 <3 x > 3 11, (f) What is P(X = 1)? (g) Find E(X), the expectation of X. (h) Find the 75th percentile of the distribution. Namely, find the value of 70.75 SO that P(X < 70.75) = F(710.75) = 0.75. (i) Find the conditional probability P(X > X|X > 3).

3. (10 points) Let X be a continuous random variable with CDF for x < -1...

3. (10 points) Let X be a continuous random variable with CDF for x < -1 Fx(x) = { } (x3 +1) for -1<x<1 for x > 1 and let Y = X5 a. (4 points) Find the CDF of Y. b. (3 points) Find the PDF of Y. c. (3 points) Find E[Y]
Example 46. Let X be a random variable with PDF liſa - 1), 1<a < 3;...

Example 46. Let X be a random variable with PDF liſa - 1), 1<a < 3; f(a) = { à(5 – a), 3 < x < 5; otherwise. Find the CDF of X. @ Bee Leng Lee 2020 (DO NOT DISTRIBUTE) Continuous Random Var Example 46 (cont'd). Find P(1.5 < X < 2.5) and P(X > 4).
1. Let X be a random variable with pdf f(x )-, 0 < x < 2-...

1. Let X be a random variable with pdf f(x )-, 0 < x < 2- a) Find the cdf F(x) b) Find the mean ofX.v c) Find the variance of X. d) Find F (1.75) e) Find PG < x < +' f) Find P(X> 1). g) Find the 40th percentile.*

Additional Problem A: The CDF of random variable X is given by: I< -3 -3 <...

Additional Problem A: The CDF of random variable X is given by: I< -3 -3 < z< -2 Fx(r) = -2 <I< 2 a) Find the possible range of values that the random variable can take. b) Find E(X) = 4x, the expec ted value. c) Find P(X > 1). d) Find P(X > 1|X > -2).
The cdf of the random variable X is given by: x < a x — а...

The cdf of the random variable X is given by: x < a x — а b-0 a < x <b ( 1 x > b Let a=32 and b=79. Find the 87th percentile. Select one: a. 4121.00 O b. 32.00 c. 72.89 d. 79.00 e. 85.16
Use MATLAB to plot the cdf of X in part (a). .13. A random variable X...

Use MATLAB to plot the cdf of X in part (a). .13. A random variable X has cdf: for x <0 Ex(x)-11-le-a for x 0. 4 (a) Plot the cdf and identify the type of random variable. (b) Find P[X s 2], PX 0), P[X < 0], P[2< X < 6], P[X > 10

Let X be a random variable with pdf S 4x3 0 < x <1 Let Y...

Let X be a random variable with pdf S 4x3 0 < x <1 Let Y 0 otherwise f(x) = {41 = = (x + 1)2 (a) Find the CDF of X (b) Find the pdf of Y.