Find mean and variance of a random variable whose probability density function is given by
f(x) = C(x + 1) when -1<= x <=1 otherwise f(x) = 0
Find C values also.
Find mean and variance of a random variable whose probability density function is given by f(x)...
Find the mean and variance of the random variable X with probability function or density f(x) f(x) = k(1 – x2) if –1 3x = 1 and 0 otherwise
Find the mean and variance of the random variable X with probability function or density f(x). 3. Uniform distribution on[0,2pi]. 4. Y= square root 3(X-u) /pi with X as in problem 3.
5. Find the moment generating function of the continuous random variable X whose a. probability density is given by )-3 or 36 0 elsewhere find the values of μ and σ2. b, Let X have an exponential distribution with a mean of θ = 15 . Compute a. 6. P(10 < X <20); b. P(X>20), c. P(X>30X > 10), the variance and the moment generating function of x. d.
Let X be the random variable whose probability density function is f(x) = ce−5x , if x > 0 f(x)=0, if otherwise (a) Find c. (b) Find P(1 ≤ 2X − 1 ≤ 9). (c) Find F(2) where F denotes the c.d.f. of X. (d) Write an equation to find E[3X2 + 15]. You do not have to evaluate it.
2.5.6. The probability density function of a random variable X is given by f(x) 0, otherwise. (a) Find c (b) Find the distribution function Fx) (c) Compute P(l <X<3)
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.
Suppose that X is a continuous random variable whose probability density function is given by (C(4x sa f(x) - 0 otherwise a) What is the value of C? b) Find PX> 1)
A random variable X has probability density function given by... Using the transformation theorem, find the density function for the random variable Y = X^2 A random variable X has probability density function given by 5e-5z if x > 0 f (x) = otherwise. Using the transformation theorem, find the density function for the random variable Y = X².
Find the mean of a continuous probability density function Question Consider a random variable X with probability density function given by f(x) for - 2 <3 < 2 otherwise. {$(4 – ) Calculate , the mean value of X. Provide your answer below:
(1) Suppose that X is a continuous random variable with probability density function 0<x< 1 f() = (3-X)/4 i<< <3 10 otherwise (a) Compute the mean and variance of X. (b) Compute P(X <3/2). (c) Find the first quartile (25th percentile) for the distribution.