Question

Two independent DRV X and Y has the probability distributions as in the tables. (a) Find the value of $k$. (b) Find the $E(X)$ and $Var(X)$. (c) If $E(XY) = \frac{35}{8}$, find the value of $p$. \begin{tabular}{|c|c|c|c|c|} \hline x & 1 & 2 & 3 & 4 \\ \hline P(X = x) & 0.1 & 0.5 & 0.2 & k \\ \hline \end{tabular} \begin{tabular}{|c|c|c|} \hline Y & 1 & 2 \\ \hline P(Y = y) & p & 1 - p \\ \hline \end{tabular}

          Two independent DRV X and Y has the probability distributions as in the tables.
(a) Find the value of $k$.
(b) Find the $E(X)$ and $Var(X)$.
(c) If $E(XY) = \frac{35}{8}$, find the value of $p$.
\begin{tabular}{|c|c|c|c|c|}
\hline
x & 1 & 2 & 3 & 4 \\
\hline
P(X = x) & 0.1 & 0.5 & 0.2 & k \\
\hline
\end{tabular}
\begin{tabular}{|c|c|c|}
\hline
Y & 1 & 2 \\
\hline
P(Y = y) & p & 1 - p \\
\hline
\end{tabular}

Two independent DRV X and Y has the probability distributions as in the tables.
(a) Find the value of k.
(b) Find the E(X) and Var(X).
(c) If E(XY) = (35)/(8), find the value of p.

x 1 2 3 4

P(X = x) 0.1 0.5 0.2 k

Y 1 2

P(Y = y) p 1 - p

Added by Stacey N.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Sriparna Bhattacharjee

02/22/2022

Step 1

Therefore, we can set up the equation: 0.1 + 0.5 + 0.2 + k = 1 Solving for k: 0.8 + k = 1 k = 1 - 0.8 k = 0.2 So, the value of k is 0.2. Show more…

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HI need help ASAP, thank you! Please explain as detailed as possible, and please send the solution by today, I will definitely upvote! Two independent DRV x and Y has the probability distributions as in the tables. (a) Find the value of k. (b) Find the E(x) and Var(x). (c) If E(xY)=(35)/(8), find the value of p. Two independent DRV X and Y has the probability distributions as in the tables. a)Find the value of k. b)Find the E(X)and Var(X) 35 (c)If E(xY) find the value of p X 1 2 3 4 P(X = x) 0.1 0.5 0.2 k Y 1 2 P(Y = y) d 1-p