(a) Find the joint probability distribution of W and Z. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Do not round.) OA. w f(w.z) 1 2 1 2 В. f(w.z) 1 2 1 (b) Find the marginal distribution of W. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Do not round.) O A. g(w) O B. В. 2 w g(w) (c) Find the marginal distribution of z.
(a) Find the joint probability distribution of W and Z. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Do not round.) OA. w f(w.z) 1 2 1 2 В. f(w.z) 1 2 1 (b) Find the marginal distribution of W. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Do not round.) O A. g(w) O B. В. 2 w g(w) (c) Find the marginal distribution of z.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![A coin is tossed twice. Let \( Z \) denote the number of heads on the first toss and \( W \) the total number of heads on the 2 tosses. Suppose the coin is unbalanced and a head has a 46% chance of occurring. Complete parts (a) through (d).
**(a) Find the joint probability distribution of \( W \) and \( Z \).**
Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or decimals. Do not round.)
- A.
\[
\begin{array}{c|ccc}
f(w,z) & w=0 & w=1 & w=2 \\
\hline
z=0 & \Box & \Box & \Box \\
z=1 & \Box & \Box & \Box \\
\end{array}
\]
- B.
\[
\begin{array}{c|ccc}
f(w,z) & w=0 & w=1 & w=2 \\
\hline
z=0 & \Box & \Box & \Box \\
z=1 & \Box & \Box & \Box \\
\end{array}
\]
**(b) Find the marginal distribution of \( W \).**
Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or decimals. Do not round.)
- A.
\[
\begin{array}{c|ccc}
w & 0 & 1 & 2 \\
\hline
g(w) & \Box & \Box & \Box \\
\end{array}
\]
- B.
\[
\begin{array}{c|ccc}
w & 0 & 1 & 2 \\
\hline
g(w) & \Box & \Box & \Box \\
\end{array}
\]
**(c) Find the marginal distribution of \( Z \).**
Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or decimals. Do not round.)
- A.
\[
\begin{array}{c|cc}
z & 0 & 1 \\
\hline
h(z) & \Box &](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F19ce5c21-bf2d-47e1-a031-6b7035d7f95d%2Ffa87c6d9-e5b4-41bb-b09c-003c57af4c13%2Fiw7v7xf_processed.png&w=3840&q=75)
Transcribed Image Text:A coin is tossed twice. Let \( Z \) denote the number of heads on the first toss and \( W \) the total number of heads on the 2 tosses. Suppose the coin is unbalanced and a head has a 46% chance of occurring. Complete parts (a) through (d).
**(a) Find the joint probability distribution of \( W \) and \( Z \).**
Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or decimals. Do not round.)
- A.
\[
\begin{array}{c|ccc}
f(w,z) & w=0 & w=1 & w=2 \\
\hline
z=0 & \Box & \Box & \Box \\
z=1 & \Box & \Box & \Box \\
\end{array}
\]
- B.
\[
\begin{array}{c|ccc}
f(w,z) & w=0 & w=1 & w=2 \\
\hline
z=0 & \Box & \Box & \Box \\
z=1 & \Box & \Box & \Box \\
\end{array}
\]
**(b) Find the marginal distribution of \( W \).**
Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or decimals. Do not round.)
- A.
\[
\begin{array}{c|ccc}
w & 0 & 1 & 2 \\
\hline
g(w) & \Box & \Box & \Box \\
\end{array}
\]
- B.
\[
\begin{array}{c|ccc}
w & 0 & 1 & 2 \\
\hline
g(w) & \Box & \Box & \Box \\
\end{array}
\]
**(c) Find the marginal distribution of \( Z \).**
Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or decimals. Do not round.)
- A.
\[
\begin{array}{c|cc}
z & 0 & 1 \\
\hline
h(z) & \Box &
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