2. A discrete random variable X can be 2, 8, 10 and 20 and its
probabilities are 0.3, 0.4,
0.1 and 0.2, respectively. Drive the inverse-transform algorithm
for the distribution.
2. A discrete random variable X can be 2, 8, 10 and 20 and its probabilities...
A discrete random variable X has probability mass function P() 0.1 0.2 0.2 0.2 0.3 Use the inverse transform method to generate a random sample of size from the distribution of X. Construct a relative frequency table and compare the empirical with the theoretical probabilities. Repeat using the R sample function. 1000
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
A discrete random variable ? has the sample space ?x = {1,2,3}, with given probabilities of ?x(1) = 0.3, ?x(2) = 0.4, and ?x(3) = 0.3. Compute the expectation ?[(? − ?)2]
Question 11 1 pts The following is the Probability Distribution Function for a discrete Random Variable. What is the expected value of x? X P(x) 10 11 12 13 0.1 0.3 0.4 0.2
Question 10 1 pts The following is the Probability Distribution Function for a discrete Random Variable. What is the expected value of x? HQ8 P(x) 100.1 0.3 0.4 0.2
5 Consider a discrete random variable X with the probability mass function rp(x) Consider Y = g( X ) =- 0.2 0.4 0.3 0.1 a) Find the probability distribution of Y. b Find the expected value of Y, E(Y). Does μ Y equal to g(Hy )? 4
Consider a discrete random variable X that can assume three values 1, 2, and k with respective probabilities 0.2, 0.5, and 0.3. If E(X) = 2.7, what is the value of k? Select one: a. 3 b. 1 c. 4 d. 5 e. 2
#3.7 distribution. 0 and check that the mode of the generated samples is close to the (check the histogram). theoretical mode mass function 3.5 A discrete random variable X has probability 3 4 AtB.8 HUS 2 X p(x) 0.1 0.2 0.2 0.2 0.3 a random sample of size Use the inverse transform method to generate 1000 from the distribution of X. Construct a relative frequency table and compare the empirical with the theoretical probabilities. Repeat using the R sample function....
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 1) Find P(x<2) Please use up to 4 decimal places and use the proper uses of rounding. Excel can be a helpful calculator in these problems. 2) Find the expected value (mean) of this discrete random variable. Please use up to 4 decimal places and use the proper rules of rounding. Excel can be a helpful calculator...
5.Consider a discrete random variable X with the probability mass function xp(x) Consider Y-g(X) 0.2 0.4 0.3 0.1 a)Find the probability distribution of Y b) Find the expected value of Y, E(Y) Does μ Y equal to g(μx)? 4