(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.) O A. f(w,z) 1 2 1 OB. 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. 1 g(w) OB. 2 w g(w) (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.) OA. 1 2 h(z) OB. h(z) (d) Find the probability that at least 1 head occurs. The probability that at least 1 head occurs is (Type an integer or a decimal. Do not round.)
(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.) O A. f(w,z) 1 2 1 OB. 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. 1 g(w) OB. 2 w g(w) (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.) OA. 1 2 h(z) OB. h(z) (d) Find the probability that at least 1 head occurs. The probability that at least 1 head occurs is (Type an integer or a decimal. Do not round.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Thanks answer parts a-d pls
![### Coin Toss Probability Analysis
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 two 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.)
**Option A:**
\[
\begin{array}{c|ccc}
f(w, z) & w = 0 & w = 1 & w = 2 \\
\hline
z = 0 &&& \\
z = 1 &&& \\
z = 2 &&& \\
\end{array}
\]
**Option B:**
\[
\begin{array}{c|ccc}
f(w, z) & w = 0 & w = 1 & w = 2 \\
\hline
z = 0 &&& \\
z = 1 &&& \\
z = 2 &&& \\
\end{array}
\]
#### (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.)
**Option A:**
\[
\begin{array}{c|ccc}
w & 0 & 1 & 2 \\
\hline
g(w) &&& \\
\end{array}
\]
**Option B:**
\[
\begin{array}{c|ccc}
w & 0 & 1 & 2 \\
\hline
g(w) &&& \\
\end{array}
\]
#### (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.)
**Option A:**
\[
\begin{array}{c|ccc}
z & 0 & 1 & 2 \\
\hline
h(z) &&& \\
\end{array}
\]
**Option B:**
\[
\begin{array}{c|cc}
z & 0 & 1 \](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbb8af0c-abe4-42e5-b157-c6f61886cbce%2F2dcf9501-192e-4d0a-8e7b-7ceb76fd77de%2Fwbj55t_processed.png&w=3840&q=75)
Transcribed Image Text:### Coin Toss Probability Analysis
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 two 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.)
**Option A:**
\[
\begin{array}{c|ccc}
f(w, z) & w = 0 & w = 1 & w = 2 \\
\hline
z = 0 &&& \\
z = 1 &&& \\
z = 2 &&& \\
\end{array}
\]
**Option B:**
\[
\begin{array}{c|ccc}
f(w, z) & w = 0 & w = 1 & w = 2 \\
\hline
z = 0 &&& \\
z = 1 &&& \\
z = 2 &&& \\
\end{array}
\]
#### (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.)
**Option A:**
\[
\begin{array}{c|ccc}
w & 0 & 1 & 2 \\
\hline
g(w) &&& \\
\end{array}
\]
**Option B:**
\[
\begin{array}{c|ccc}
w & 0 & 1 & 2 \\
\hline
g(w) &&& \\
\end{array}
\]
#### (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.)
**Option A:**
\[
\begin{array}{c|ccc}
z & 0 & 1 & 2 \\
\hline
h(z) &&& \\
\end{array}
\]
**Option B:**
\[
\begin{array}{c|cc}
z & 0 & 1 \
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