Six different colored dice are rolled. Of interest is the number of dice that show a "5." Please make sure you label each part
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Six different colored dice are rolled. Of interest is the number of dice that show a "5."
Please make sure you label each part
![### Part (c)
**Question:**
Give the distribution of X. (Enter the probability as a fraction.)
**Answer Format:**
\[ X \sim \text{---} \left( \frac{\text{---}}{\text{---}}, \frac{\text{---}}{\text{---}} \right) \]
### Part (d)
**Question:**
On average, how many dice would you expect to show a "5"?
**Answer Format:**
\[ \text{---} \] die (dice)
### Part (e)
**Question:**
Find the probability that all six dice show a "5." (Round your answer to five decimal places.)
**Answer Format:**
\[ \text{---} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba3fd56c-d0e8-48f8-a096-874bc7ee8436%2F1067ec72-cee7-43e4-8716-0ac8f56d45f0%2Foswujo_processed.png&w=3840&q=75)
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