Asi Find the population mean"-FIX) and the populatio n variance - random variable X defined by...

Question

Question

Answer 1

Answer #1

Solution; 0 oe have to Cateulate the populahion me ean, u- ECx) and the populałion variance Y vcx) der popublion mean , μ.ECĐ

Answer 2

Similar Homework Help Questions

Let X,,X.X be a random sample of size n from a random variable with mean and variance given by (μ, σ2) a Show that the...

Let X,,X.X be a random sample of size n from a random variable with mean and variance given by (μ, σ2) a Show that the sample meanX is a consistent estimator of mean 1(X-X)2 converges in probability Show that the sample variance of ơ2-02- b. 1n to Ơ2 . Clearly state any theorems or results you may have used in this proof. Let X,,X.X be a random sample of size n from a random variable with mean and variance given...
1. The random variable X is Gaussian with mean 3 and variance 4; that is X...

1. The random variable X is Gaussian with mean 3 and variance 4; that is X ~ N(3,4). $x() = veze sve [5] (a) Find P(-1 < X < 5), the probability that X is between -1 and 5 (inclusive). Write your answer in terms of the 0 () function. [5] (b) Find P(X2 – 3 < 6). Write your answer in terms of the 0 () function. [5] (c) We know from class that the random variable Y =...
X is a Gaussian random variable with zero mean and variance ơ2 This random variable 5...

X is a Gaussian random variable with zero mean and variance ơ2 This random variable 5 20 points is passed through a quantizer device whose input-output relation is g(z) = Zn, for an x < an+1, 1 N where In lies in the interval [an, Qn+1) and the sequence fa, a2, al z-00, aN41 # oo, and for i > j we have ai > aj. Find the PMF of the output random variable Y g(X). aN+1) satisfies the conditions

For the probability density function f defined on the random variable x, find (a) the mean...

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...
Where p denote the population mean of the original random variable 5.7 Problems . Assume X is a n...

where p denote the population mean of the original random variable 5.7 Problems . Assume X is a normally distributed random variable with mean u and stan- dard deviation σ. A sample of size n-5 from this distribution is given as 1. Assume we are interested in the properties of the mean of the sam- pling distribution of the sample mean. Describe why this quantity is a 2. State an estimator for the parameter given in question 1. Use this...
Find the mean and variance of the random variable X with probability function or density 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)....

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 please 2. Find the probability distribution function for the random variable representing picking a random real numb...

#5 please 2. Find the probability distribution function for the random variable representing picking a random real number between -1 and 1. (This is a piecewise defined function.) 3. Compute the mean of the random variable with density function if x>0 ed f(r) = if r < 0. 0 4. Compute the mean of the random variable with density function 2e (1 - cos x) if x >0 if r<O. f (x) = 5 Compute the variance and standard deviation...
8. A Gaussian random variable x with a mean and variance of ax and Ox? respectively...

8. A Gaussian random variable x with a mean and variance of ax and Ox? respectively goes through a linear transformation of y=ax +b, where a and b are any real constants. Determine the probability density function of y, also give its mean and variance. (5 points).

Find the variance of random variable X. 7.. Let X be a continuous random variable whose...

Find the variance of random variable X. 7.. Let X be a continuous random variable whose probability density function is: -(2x3 + ar', if x E (0:1) if x (0;1) Find 1) the coefficient a; 2) P(O.5eX<0.7); 3) P(X>3). Part 3. Statistics A sample of measurements is given X 8 -2 0 2 8