Solution Found!
Let X and Y have a trinomial distribution with parameters
Chapter 4, Problem 4E(choose chapter or problem)
Let X and Y have a trinomial distribution with parameters n = 3, \(p_X = 1/6\), and \(p_Y = 1/2\). Find
(a) E(X).
(b) E(Y).
(c) Var(X).
(d) Var(Y).
(e) Cov(X, Y).
(f) \(\rho\).
Note that \(\rho = - \sqrt {p_X p_Y /[(1 - p_X )(1 - p_Y )]}\) in this case. (Indeed, the formula holds in general for the trinomial distribution; see Example 4.3-3.)
Questions & Answers
QUESTION:
Let X and Y have a trinomial distribution with parameters n = 3, \(p_X = 1/6\), and \(p_Y = 1/2\). Find
(a) E(X).
(b) E(Y).
(c) Var(X).
(d) Var(Y).
(e) Cov(X, Y).
(f) \(\rho\).
Note that \(\rho = - \sqrt {p_X p_Y /[(1 - p_X )(1 - p_Y )]}\) in this case. (Indeed, the formula holds in general for the trinomial distribution; see Example 4.3-3.)
ANSWER:Answer
Step 1 of 7
Here the distribution is trinomial distribution with parameters n=3, Px=,Py=
The pmf of trinomial distribution is
(