Find the expected value for the random variable x whose probability function graph is displayed here. What is the expected value of the random variable?


Find the expected value for the random variable x whose probability function graph is displayed here. What...
Find the expected value for the random variable x whose probability function graph is displayed here 02 2 33 What is the expected value of the random variable? (Round to the nearest hundredth as needed)
The probability mass function for the discrete random variable X is p(X=0)=0.13; p(X=1)=0.31; p(X=2)=m. What is the expected value of X? Hint: First compute m, then find the expectation of X. Round your answer to the nearest hundredth.
1. [4 points] Consider a random variable X whose probability distribution function is given by 0.4 ifx=0 0.3 if3 0 elsewhere (I) find the value of k (2) find the mean of X (3) find the variance of X
of the random variable x. Suppose x is a normally distributed random variable with u = 34 and 0 = 4. Find a value a. P(x 2 Xo)=5 b. P(X<Xo) = .025 c. P(x>x) = 10 d. P(x > Xo) = .95 Click here to view a table of areas under the standardized normal curve. a. Xo = (Round to the nearest hundredth as needed.)
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...
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.
5. (Expected value) Let X be a continuous random variable with probability density function S2/a2 if 1 2, f(x) elsehwere. 0 Find the expected value E (In X). Hint: Integration by parts
Discrete Random Variable. The random variable x has the discrete probability distribution shown here: x -2 -1 0 1 2 p(x) 0.1 0.15 0.4 0.3 0.05 Find P(-1<=x<=1) Find P(x<2) Find the expected value (mean) of this discrete random variable. Find the variance of this discrete random variable
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
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.