Find the mean and standard deviation of the specified probability density function. f(x) = 001 -...
For the probability density function f defined on the random variable x, find (a) the mean of x, (b) the standard deviation of x, and (c) the probability that the random variable x is within one standard deviation of the mean. f(x) = 1 30 x, [2,8] a) Find the mean. u = (Round to three decimal places as needed.) b) Find the standard deviation. = (Round to three decimal places as needed.) c) Find the probability that the random...
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) H = 48; 0 = 16 P(40 sxs 47) = Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) u = 14.6; 0 = 3.3 P(8 SX s 12) = Assume that x has a normal distribution with the...
The joint probability density function is f(x, y) for 17. Find the mean of X given Y = random variables X and Y fax, y) = f(xy *** Q<x<10<x<1 Elsewhere w 14. Random variables X and Y have a density function f(x, y). Find the indicated expected value f(x, y) = 6; (xy+y4) 0<x< 1,0<y<1 0 Elsewhere E(x2y) = 15. The means, standard deviations, and covariance for random variables X, Y, and Z are given below. Lex= 3, uy =...
Let X be a random variable with probability density function a) Find the mean of X b) Find the standard deviation of X round to four decimal places. c) Let G = X2 Find the probability density function fG of G Show work for each part plz f(x) = { 1 x (3-X) it osx=2 Co otherwise
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 8; σ = 2 P(7 ≤ x ≤ 11) = Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 6.0; σ = 1.4 P(7 ≤ x ≤ 9) = Assume that x has a normal...
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 4.3; σ = 1.6 P(3 ≤ x ≤ 6) =
Q1) (20 Mark) The probability density function of a random variable X is given by: f(x) Cx-2 x21 1) Find the value of C 2) Find the distribution function F(X) 3) Find P(X > 3) 4) Find the mean and the standard deviation of the distribution
Q1) (20 Mark) The probability density function of a random variable X is given by: f(x) Cx-2 x21 1) Find the value of C 2) Find the distribution function F(X) 3) Find P(X > 3) 4) Find the mean and the standard deviation of the distribution
Given the probability density function f(x)=14f(x)=14 over the interval [3,7][3,7], find the expected value, the mean, the variance and the standard deviation. Expected value: Mean: Variance: Standard Deviation:
3 The probability density function of a random variable on the interval [9, 16] is f(x) = x. Find the following values. a. Find the expected value The expected value is (Round to two decimal places as needed.) b. Find the variance. The variance is (Round to two decimal places as needed.) c. Find the standard deviation The standard deviation is (Round to two decimal places as needed.) d. Find the probability that the random variable has a value greater...