women consider themselves fans of professional baseball. You randomly select six women and ask each if she considers herself a fan of professional baseball. Complete pa a) through (c) below. (a) Construct a binomial distribution using n=6 and p=0.32. P(x) X 0 1 2 3 4 5 6

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32% of women consider themselves fans of professional baseball. You randomly select six women and ask each if she considers herself a fan of professional baseball. Complete parts (a) through (c) below.

(a) Construct a binomial distribution using n = 6 and p = 0.32.

\[ \begin{array}{|c|c|}
\hline
x & P(x) \\
\hline
0 & \\
1 & \\
2 & \\
3 & \\
4 & \\
5 & \\
6 & \\
\hline
\end{array} \]

Diagram Explanation:
The table shows the distribution of a binomial experiment with six trials (n = 6), where each trial has a probability of success (p) equal to 0.32. The column labeled "x" represents the number of successes (fans of professional baseball), ranging from 0 to 6. The column "P(x)" is for the probability of observing exactly x successes in the six trials.
Transcribed Image Text:32% of women consider themselves fans of professional baseball. You randomly select six women and ask each if she considers herself a fan of professional baseball. Complete parts (a) through (c) below. (a) Construct a binomial distribution using n = 6 and p = 0.32. \[ \begin{array}{|c|c|} \hline x & P(x) \\ \hline 0 & \\ 1 & \\ 2 & \\ 3 & \\ 4 & \\ 5 & \\ 6 & \\ \hline \end{array} \] Diagram Explanation: The table shows the distribution of a binomial experiment with six trials (n = 6), where each trial has a probability of success (p) equal to 0.32. The column labeled "x" represents the number of successes (fans of professional baseball), ranging from 0 to 6. The column "P(x)" is for the probability of observing exactly x successes in the six trials.
Expert Solution
Step 1

p=0.32n=6 q=1-p=1-0.32=0.68we have to find out the given probability for the given data p(X=x)=n Cx * px*q(n-x) ( binomial distribution)

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