Let p(z)=1/5 be the probability distribution function for random variable X with z=5, 10, 15, 20, 25. Find the mean and variance of Z..
Let p(z)=1/5 be the probability distribution function for random variable X with z=5, 10, 15, 20,...
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.
10) The X random variable has a normal distribution. P(X > 15) = 0.0082 and P(X<5) = 0.6554 find the mean and variance of this distribution
Let X be a random variable with the following probability distribution: Value x of X P=Xx -20 0.25 -10 0.10 0 0.10 10 0.10 20 0.05 30 0.40 Find the expectation EX and variance VarX of X .
Let X be a random variable with cumulative distribution function(a) Find the probability density function fX(x), (b) Find the moment generating function MX(s) for s < 3, (c) Find the mean and variance of X.
Let X be a random variable with the following probability distribution: Value x of X P(X = x) -10 0.05 0 0.20 10 0.05 20 0.05 30 0.30 40 0.35 Find the expectation E(X) and variance Var (x) of X. (If necessary, consult a list of formulas.) X 5 ? var(x) = 0
A random variable X is given by its distribution table: X -10 5 10 20 P .15 .4 .35 .1 Find its variance and standard deviation.
Let X be a random variable with the following probability distribution:Value x of XP(X=x)-300.05-200.20-100.0500.15100.25200.30Find the expectation E(X) and variance Var(X) of X. (if necessary, consult a list of formulas.)
Let X be a continuous random variable with cumulative
distribution function F(x) = 1 − X−α x ≥ 1
where α > 0. Find the mean, variance and the rth moment of
X.
Question 1: Let X be a continuous random variable with cumulative distribution function where a >0. Find the mean, variance and the rth moment of X
12. (15 points) Let X be a continuous random variable with cumulative distribution function **- F() = 0, <a Inx, a < x <b 1, b<a (a) Find the values of a and b so that F(x) is the distribution function of a continuous random variable. (b) Find P(X > 2). (c) Find the probability density function f(x) for X. (d) Find E(X)
5. (20%) Let X be a continuous random variable whose probability density function is fr(x) (a +bx)%0(x) (a) If Ex)f find a and b. (b) Give the cumulative distribution function F,(x) f()dt of X and Var(X) (c) Let A be any Borel set of R. Define P by P(A) [,f dm
5. (20%) Let X be a continuous random variable whose probability density function is fr(x) (a +bx)%0(x) (a) If Ex)f find a and b. (b) Give the cumulative distribution...