Suppose a math class contains 28 students. There are 10 females (six of whom speak Spanish) and 18 males (three of whom speak Spanish).1. What is the probability that a randomly selected student speaks Spanish, given that the student is female? 2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male? 3. What percent of Spanish speaking students are male? 4. If someone does not speak Spanish what is the probability they are female? Get help: VideoWritten Example Giving a test to a group of students, the grades and gender are summarized below. Round your answers to 4 decimal places. Grades and Gender A B C Total Male 13 4 14 31 Female 11 18 12 41 Total 24 22 26 72 If one student is chosen at random,a. Find the probability that the student got a B: b. Find the probability that the student was female AND got a "B": c. Find the probability that the student was male OR got a "C": d. If one student is chosen at random, find the probability that the student was female GIVEN they got a 'B':
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.
1. What is the
2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male?
3. What percent of Spanish speaking students are male?
4. If someone does not speak Spanish what is the probability they are female?
Get help: VideoWritten Example
Giving a test to a group of students, the grades and gender are summarized below. Round your answers to 4 decimal places.
Grades and Gender
| A | B | C | Total | |
|---|---|---|---|---|
| Male | 13 | 4 | 14 | 31 |
| Female | 11 | 18 | 12 | 41 |
| Total | 24 | 22 | 26 | 72 |
If one student is chosen at random,
a. Find the probability that the student got a B:
b. Find the probability that the student was female AND got a "B":
c. Find the probability that the student was male OR got a "C":
d. If one student is chosen at random, find the probability that the student was female GIVEN they got a 'B':
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