Using the joint probability table below, determine the marginal distribution of 0 0.150.050.15 0.1 0.150 70.3...
Question 10 Using the joint probability table below, determine P(X = 1, Y = 7). 3 | 5 7 0.15 0.050 0.3 0.15 0.05 0.15 0.05 0.1 a) 0.1 b) 0.3 c) 0.45 d) 0.15 e) 0.35 f) None of the above.
Using the joint probability table below, determine P(X=0 [Y=5). 3 х 10 0.05 0.15 0.05 1 10.15 0.3 0.15 Y 1 0 0.05 0.1 5 7 a. 0.75 b.0.35 C. 0.15 d. 0.03 e. 0.3
Determine if the following tables can serve as a probability distribution for some random variable based on the three conditions: (1) $X$ values are numerical. (2) $P(x)$ values are between 0 and 1 and. (3) sum of P(x) values is 1 (P(x) = 1). If all three conditions are met, write not applicable (NA) for the second part. (a) x 02 3 4 5 P(x) 0.2 0.24 0.16 0.3 0.2 This table a a probability distribution because it does not...
The table below gives the joint probability mass function of a pair of discrete random variables X and Y. Pxr(x,y) 12 3 P) 10.30 0.05 0.15 2 0.10 0.05 0.35 px(x) Complete the marginal distributions in the table above. . Are X and Y independent? Yes Check
Please answer the three questions below: 1) 2) 3.) Below is a binomial distribution for n-7 and p 0.4. 0.25 0.2 0.15 0.1 0.05 Number of Successes Binomial Distribution Calculate the mean of the binomial distribution. Preview [two decimal accuracy] Below is a binomial distribution for n 6 and p 0.6 0.3 0.25 0.2 S0.15 0.1 0.05 Number of Successes Binomial Distribution Calculate the standard deviation of the binomial distribution. Preview [three decimal accuracy 0.35 0.3 0.25 0.2 0.15 0.1...
. Suppose we have the following joint distribution for random variables X and Y 2 0.1 0.2 0.1 4 0 0.3 0.1 6 0 0 0.2 (a) Find p(X). That is find the marginal distribution of X. (b) Find p(Y). That is find the marginal distribution of Y (c) Find the distribution of X conditional on Y = 3. (d) Find the distribution of X conditional on Y 2 (e) Are X and Y independent? You should be able to...
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
(20 points) Consider the following joint distribution of X and Y ㄨㄧㄚ 0 0.1 0.2 1 0.3 0.4 (a) Find the marginal distributions of X and Y. (i.e., Px(x) and Py()) (b) Find the conditional distribution of X given Y-0. (i.e., Pxjy (xY-0)) (c) Compute EXIY-01 and Var(X)Y = 0). (d) Find the covariance between X and Y. (i.e., Cov(X, Y)) (e) Are X and Y independent? Justify your answer. (20 points) Consider the following joint distribution of X and...
The discrete random variables ? and ? have joint probability function ?, where ? is given by the following table: X 1 2 3 4 1 0.1 0.2 0.1 0.05 Y 2 0.05 0 0.1 0.1 3 0 0.2 0.05 0.05 a) Determine ?(1 < ? ≤ 3, 1 ≤ ? ≤ 2). [4 marks] b) Calculate ?(?^2 ?). [4 marks] c) Find the marginal probability functions ? and ℎ of ? and ? respectively. [4 marks] d) Are ?...
Suppose that the following table is the joint probability distribution of two random variables X and Y: х -2 0 2 3 0.27 0.08 0.16 0.2 0.1 0.04 0.1 0.05 a. Find the marginal PDF of X when x=-2, 0, 2, and 3. b. Find the marginal PDF of Y when y=2 and 5. . Find the conditional PDF of x=-2 and 3 given that y=2 has occurred. . Find the conditional PDF of y=2 and 5 given that x=3...