Betty has several of the standard six-sided dice that are common in many board games. If Betty rolls one of these dice, what is the probability that: She rolls a three. She rolls an odd number. She rolls a six or odd number.
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.
Betty has several of the standard six-sided dice that are common in many board games. If Betty rolls one of these dice, what is the probability that:
She rolls a three.
She rolls an odd number.
She rolls a six or odd number.
| Republican | Democrat | Independent | Total | |
| Indiana | 905 | 668 | 201 | 1774 |
| Ohio | 843 | 1094 | 121 | 2058 |
| Illinois | 678 | 1801 | 121 | 2600 |
| Total | 2426 | 3563 | 443 | 6432 |
What is the probability of being a democrat or republican?
What is the probability of being a republican from Indiana?
What is the probability of being a republican or from Illinois?
| Health | Tech | Gen | Total | |
| Male | 176 | 686 | 724 | |
| Female | 214 | 899 | 904 | |
| Total |
This chart will be used for the next few questions. Fill in the total above in the indicated areas.
Using the table from the population of male and female taking classes, answer the following as a percentage to the hundredths.
What is the probability that a student chosen at random is female?
Using the table from the population of male and female taking classes, answer the following as a percentage to the hundredths.
What is the probability that a student chosen at random is majoring in Tech and is Male?
Using the table from the population of male and female taking classes, answer the following as a percentage to the hundredths.
What is the probability that a student chosen at random is majoring in Tech or is Female?
Using the table from the population of male and female taking classes, answer the following as a percentage to the hundredths.
If a student chosen at random is majoring in Gen, what is the probability that they are Male?
Using the table from the population of male and female taking classes, answer the following as a percentage to the hundredths.
If a student chosen at random is majoring in Tech, what is the probability that they are Male?
Using the table from the population of male and female taking classes, answer the following as a percentage to the hundredths.
What is the probability that Heath major graduated given they were a Female?
Consider the following distribution of data from a college survey.
|
|
Android Users |
iPhone Users |
Total |
|
Ages 18 – 30 |
405 |
653 |
1058 |
|
Ages 31 – 40 |
687 |
538 |
1225 |
|
Ages 41 – 50 |
1068 |
391 |
1459 |
|
Total |
2160 |
1582 |
3742 |
(Write all answers as a percentage without the % symbol to 1 decimal.)
What is the probability that someone chosen at random was aged 41 - 50?
What is the probability that someone chosen at random was an Android user or aged 41 - 50?
What is the probability of someone being aged 41 - 50 and an Android user?
Given a random person was aged 18 - 30, what is the probability that they were an iPhone user?
If living in Ohio, the number of independent voters makes up about 6% of all voters in that state. Is it fair to say that Illinois also has 6% of its population voting as independent since it has the same number of independent voters? Explain why or why this is not true.
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