Students in a business statistics class were asked what grade they expected in the course and whether they worked on additional problems beyond those assigned by the instructor. The following table gives proportions of students in each of eight joint classifications. Worked Problems Expected Grade A B C Below C Yes No 0.12 0.13 0.06 0.21 0.12 0.26 0.02 0.08 a. Find the probability that a randomly chosen student from this class worked on additional problems. b. Find the probability that a randomly chosen student from this class expects an A. c. Find the probability that a randomly chosen student who worked on additional problems expects an A. d. Find the probability that a randomly chosen student who expects an A worked on additional problems. e. Find the probability that a randomly chosen student who worked on additional problems expects a grade below B. f. Are “worked additional problems” and “expected grade” statistically independent?
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.
Students in a business statistics class were asked what grade they expected in the course and whether they worked on additional problems beyond those assigned by the instructor. The following table gives proportions of students in each of eight joint classifications.
| Worked Problems |
Expected Grade | |||
| A | B | C | Below C | |
|
Yes No |
0.12 0.13 |
0.06 0.21 |
0.12 0.26 |
0.02 0.08 |
a. Find the
b. Find the probability that a randomly chosen student from this class expects an A.
c. Find the probability that a randomly chosen student who worked on additional problems expects an A.
d. Find the probability that a randomly chosen student who expects an A worked on additional problems.
e. Find the probability that a randomly chosen student who worked on additional problems expects a grade below B.
f. Are “worked additional problems” and “expected grade” statistically independent?
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