Which of the following distributions is(are) valid discrete probability distribution(s)? 2. 3. 4. X p(x) X...
1. (3 points) Explain why each of the following is not a valid discrete probability distribution. P(x) 0.35 0.10 T-Mobile 0.25 MetroPCS 0.15 0.05 0.10 a. Verizon Sprint Cricket Other b.X Px 0 0.2 2 0.3 0.4 6 0.5 -2 0.1 0 0.2 2 0.2 4 0.2 8 0.3
Discrete Probability Distributions, Continuous Probability Distri- butions, and Sampling Distributions (100 points) 1. Does each of the following tables represent a probability distribution? Explain why or why not. For those that represent a probability distribution, calculate the mean and variance of the variable r. a f(x) 0.5 0.25 0.25 f(x) 0.4 0.4 0.4 0.2 ( X 1 2 3 4 C) f(x) 0.5 0.3 0.3 -0.1
(2.) A discrete-tim e Markov chan X, E {0,1,2) has the following transition probability matrix: 0.1 0.2 0.7 P-10.8 0.2 0 0.1 0.8 0.1 Suppose Pr(Xo = 0) = 0.3, Pr(X,-1) = 0.4, and Pr(Xo = 2) = 0.3. Compute the following. .lrn( (a) Pr (X0-0, X,-2, X2-1). (b) Pr(X2-iXoj) for all i,j
Consider the following probability distribution: x P(x) 1 0.1 2 ? 3 0.2 4 0.3 What must be the value of P(2) if the distribution is valid? A. 0.6 B. 0.5 C. 0.4 D. 0.2 What is the mean of the probability distribution? A. 2.5 B. 2.7 C. 2.0 D. 2.9
2.1 Let X be a discrete random variable with the following probability distribution Xi 0 2 4 6 7 P(X = xi) 0.15 0.2 0.1 0.25 0.3 a) find P(X = 2 given that X < 5) b) if Y = (2 - X)2 , i. Construct the probability distribution of Y. ii. Find the expected value of Y iii. Find the variance of Y
Help please This Question: 2 pts 22 o Consider the following probability distribution: P(x) 0.1 2 0.2 0.3 What must be the value of P(2) if the distribution is valid? O A. 0.4 O B. 0.5 O C. 0.2 OD, 0.6 What is the mean of the probability distribution? O A. 2.7 O B. 2.0 OC. 2.9 OD. 2.5 Click to select your answer
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
Consider the following discrete probability distribution: X -0.99 0.48 0.71 1.4 P(X) 0.1 0.4 0.3 0.2 a) What is E[X]? Round your answer to at least 3 decimal places. b) What is Var[X]? Round your answer to at least 3 decimal places.
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
2. Consider a random variable with the following probability distribution: P(X=0) = 0.1, P(X=1) = 0.2, P(X=2) = 0.4, and P(X=3) = 0.3 a. Find P(X<=1) b. Find P(1<X<=3)