Homework Answers
![(page 3 = 0.25 +1.6875-0.1875 = 1.75 E Cx²) = 1.75 By using formula, V(X) = E(X?) - [EO] = 1.75- (1.8666) 2 = 0.3889 V(x) = 0](http://img.homeworklib.com/questions/97159ae0-a56d-11eb-9ee7-8f7c4fcdd240.png?x-oss-process=image/resize,w_560)
![(page 4 312 * yadx+502) - (1 - 0) + (1 - 2 ) - ( 2 1 - 1)] = 1 + 0.84375 -0.625 = 0.71875 [ P ( x < 2 ) = 0.71875 © Also, we](http://img.homeworklib.com/questions/97dcbbf0-a56d-11eb-9599-d564ecdbf183.png?x-oss-process=image/resize,w_560)
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(1) Suppose that X is a continuous random variable with probability density function 0<x< 1 f()...
Let X be a continuous random variable with the following probability density function f 0 <...
Let X be a continuous random variable with the following probability density function f 0 < x < 1 otherwise 0 Let Y = 10 X: (give answer to two places past decimal) 1. Find the median (50th percentile) of Y. Submit an answer Tries 0/99 2. Compute p (Y' <1). Submit an answer Tries 0/99 3. Compute E (X). 0.60 Submit an answer Answer Submitted: Your final submission will be graded after the due date. Tries 1/99 Previous attempts...
6) If the probability density function of a continuous random variable X is f(x) =x/8 when...
6) If the probability density function of a continuous random variable X is f(x) =x/8 when 3<x < 5, f(x)=0 otherwise a) Find the expected value of this distribution. b) Find the variance of this distribution. c) Find the 25th percentile of this distribution.
b. Let X be a continuous random variable with probability density function f(x) = kx2 if...
b. Let X be a continuous random variable with probability density function f(x) = kx2 if – 1 < x < 2 ) otherwise Find k, and then find P(|X| > 1/2).
2x 0<x<1 Let X be a continuous random variable with probability density function f(x)= To else...
2x 0<x<1 Let X be a continuous random variable with probability density function f(x)= To else The cumulative distribution function is F(x). Find EX.
6. Let X be a continuous random variable whose probability density function is: 0, x <0,...
6. Let X be a continuous random variable whose probability density function is: 0, x <0, x20.5 Find the median un the mode. 7. Let X be a continuous random variable whose cumulative distribution function is: F(x) = 0.1x, ja 0S$s10, Find 1) the densitv function of random variable U-12-X. 0, ja x<0, I, ja x>10.
22. Given a continuous random variable X with probability density function f(x) = {2x, if :05451...
22. Given a continuous random variable X with probability density function f(x) = {2x, if :05451 otherwise a. Find P(0.3< X< 0.6) b. Find the mean of X C. Find the standard deviation of X.
3. Let X be a continuous random variable with probability density function ax2 + bx f(0)...
3. Let X be a continuous random variable with probability density function ax2 + bx f(0) = -{ { for 0 < x <1 otherwise 0 where a and b are constants. If E(X) = 0.75, find a, b, and Var(X). 4. Show that an exponential random variable is memoryless. That is, if X is exponential with parameter > 0, then P(X > s+t | X > s) = P(X > t) for s,t> 0 Hint: see example 5.1 in...
8. Suppose X is a continuous random variable with density f(x) = 1/3,-1 < x <...
8. Suppose X is a continuous random variable with density f(x) = 1/3,-1 < x < 0, f(x) = 2(z-1)2,1 < x < 2, and 0 everywhere else. (a) Find E(X).
9.) Suppose that X is a continuous random variable with density C(1- if r [0,1 0...
9.) Suppose that X is a continuous random variable with density C(1- if r [0,1 0 ¡f x < 0 or x > 1. (a) Find C so that px is a probability density function (b) Find the cumulative distribution of X (c) Calculate the probability that X є (0.1,0.9). (d) Calculate the mean and the variance of X 10.) Suppose that X is a continuous random variable with cumulative distribution function Fx()- arctan()+ (a) Find the probability density function...
7, Let X be a continuous random variable with probability density function: 0, f x<0 150...
7, Let X be a continuous random variable with probability density function: 0, f x<0 150 f x> 10 ind ihe avnanted value and mode of random variable X
Let X be a continuous random variable with the following probability density function f 0 < x < 1 otherwise 0 Let Y = 10 X: (give answer to two places past decimal) 1. Find the median (50th percentile) of Y. Submit an answer Tries 0/99 2. Compute p (Y' <1). Submit an answer Tries 0/99 3. Compute E (X). 0.60 Submit an answer Answer Submitted: Your final submission will be graded after the due date. Tries 1/99 Previous attempts...
b. Let X be a continuous random variable with probability density function f(x) = kx2 if – 1 < x < 2 ) otherwise Find k, and then find P(|X| > 1/2).
2x 0<x<1 Let X be a continuous random variable with probability density function f(x)= To else The cumulative distribution function is F(x). Find EX.
6. Let X be a continuous random variable whose probability density function is: 0, x <0, x20.5 Find the median un the mode. 7. Let X be a continuous random variable whose cumulative distribution function is: F(x) = 0.1x, ja 0S$s10, Find 1) the densitv function of random variable U-12-X. 0, ja x<0, I, ja x>10.
22. Given a continuous random variable X with probability density function f(x) = {2x, if :05451 otherwise a. Find P(0.3< X< 0.6) b. Find the mean of X C. Find the standard deviation of X.
3. Let X be a continuous random variable with probability density function ax2 + bx f(0) = -{ { for 0 < x <1 otherwise 0 where a and b are constants. If E(X) = 0.75, find a, b, and Var(X). 4. Show that an exponential random variable is memoryless. That is, if X is exponential with parameter > 0, then P(X > s+t | X > s) = P(X > t) for s,t> 0 Hint: see example 5.1 in...
8. Suppose X is a continuous random variable with density f(x) = 1/3,-1 < x < 0, f(x) = 2(z-1)2,1 < x < 2, and 0 everywhere else. (a) Find E(X).
9.) Suppose that X is a continuous random variable with density C(1- if r [0,1 0 ¡f x < 0 or x > 1. (a) Find C so that px is a probability density function (b) Find the cumulative distribution of X (c) Calculate the probability that X є (0.1,0.9). (d) Calculate the mean and the variance of X 10.) Suppose that X is a continuous random variable with cumulative distribution function Fx()- arctan()+ (a) Find the probability density function...
7, Let X be a continuous random variable with probability density function: 0, f x<0 150 f x> 10 ind ihe avnanted value and mode of random variable X
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