a University, the faculty members were surveyed and classified according to Designation and number of research publications during the last Academic year. The data are shown in the Table 2. Research Publications Professor Associate Professor Assistant Professor Lecturer 0 0 0 2 8 1 – 2 3 6 14 20 3 – 5 2 4 12 8 More than 5 1 1 4 1 Table 2 If a faculty member is selected at random, find the probability that The faculty member have 3 publications during last year given that he/she is an Assistant Professor The faculty member is Lecturer given that he/she do not have any publication.
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.
ASAP!!
At a University, the faculty members were surveyed and classified according to Designation and number of research publications during the last Academic year. The data are shown in the Table 2.
|
Research Publications |
Professor |
Associate Professor |
Assistant Professor |
Lecturer |
|
0 |
0 |
0 |
2 |
8 |
|
1 – 2 |
3 |
6 |
14 |
20 |
|
3 – 5 |
2 |
4 |
12 |
8 |
|
More than 5 |
1 |
1 |
4 |
1 |
Table 2
If a faculty member is selected at random, find the
- The faculty member have 3 publications during last year given that he/she is an Assistant Professor
- The faculty member is Lecturer given that he/she do not have any publication.
Probability could be defined as a number that always falls between 0 and 1, where 0 implies the impossibility of an event to happen and 1 implies the possibility of an event to happen. It could be defined as the number of favorable outcomes divided by the number of possible outcomes, where the outcomes are equally likely.
There are various concepts of probability.
Simple probability : As mentioned above
Conditional probability : It is the probability of a certain event when some other event had already occurred.
Sum of total probability : Finding unnational probability from all the conditional probabilities.
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