### Conditional Probability---#### Scenario:A certain college class contains 49 students. Of these, 27 are juniors, 24 are mathematics majors, and 6 are neither. A student is selected at random from the class.---1. **What is the probability that the student is both a junior and a mathematics major?**2. **Given that the student selected is a mathematics major, what is the probability that he is also a junior?**---#### Responses:Write your responses as fractions. (If necessary, consult a list of formulas.)---**(a)** \[ \frac{}{49} \]---**(b)** \[ \frac{}{24} \]---**Explanation of Diagrams and Graphs:*** There are checkboxes below the questions for inputting answers.* Adjacent to the answers for (a) and (b), there are three icons: - A checkbox (possibly for submitting the answer). - A curved arrow (presumably for refreshing or redoing the calculation). - A question mark (probably for help or additional instructions).---**Note:** Ensure to use proper fractions when computing and presenting the probabilities.

Name: ### Conditional Probability---#### Scenario:A certain college class c
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: ### Conditional Probability---#### Scenario:A certain college class contains 49 students. Of these, 27 are juniors, 24 are mathematics majors, and 6 are neither. A student is selected at random from the class.---1. **What is the probability that the

a) It is given that, there are 49 students in a class, among which 27 are juniors, 24 are…

Math

Statistics

Suppose that a certain college class contains 49 students, Of these, 27 are juniors, 24 are mathematics majors, and 6 are neither. A student is selected at random from the class. (a) What is the probability, that the student is both a junior and a mathematics major? (b) Given that the student selected is a mathematics major, what is the probability that he is also a junior Write your responses as fractions. (If necessary, consult a list of formulas.) (a)0 믐 (b)I ?

Suppose that a certain college class contains 49 students, Of these, 27 are juniors, 24 are mathematics majors, and 6 are neither. A student is selected at random from the class. (a) What is the probability, that the student is both a junior and a mathematics major? (b) Given that the student selected is a mathematics major, what is the probability that he is also a junior Write your responses as fractions. (If necessary, consult a list of formulas.) (a)0 믐 (b)I ?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Mary and Susan are each to play a tennis match. Let the probability that Mary wins her match be 0.65…

Q: Micahel is running a small business. He knows that last week 62 customers paid cash, 20 used a debit…

A: The number of customers paid cash is 62.

Q: For this problem, assume the box contains 5 mango balls, 4 aqua balls, and 7 gold balls, and that we…

A: Let A be the event that the chosen balls are not mango balls. Let B be the event that the chosen…

Q: If two cards are drawn without replacement from an ordinary deck, find the probability of a queen…

A: Brief answer is given below.

Q: Suppose that you randomly draw eight card from a deck of 52 cards. Given that 3 of them are clubs,…

A: We know that there are total 13 clubs. If 3 clubs are already picked then, (13-3)=10 club remains.…

Q: Suppose that there are 2 red balls, 1 blue ball, and 2 white balls in an urn. A ball is drawn and…

A: There are total (2+1+2)=5 balls in the urn. Let R= Red , B= Blue , W= White Number in suffix will…

Q: Suppose that the genders of the three children of a family are soon to be revealed. An outcome is…

A: Given information: The data represents the genders of the 3 children of a family.

Q: One of two urns is chosen at random with one as likely to be chosen as the other. Then a ball is…

A: Number of balls in first urn = 1 white and 5 red ballsNumber of balls in second urn = 4 white and 2…

Q: The manager of the high school baseball team randomly selects 7 pitchers from a group of 13 students…

Q: f you pick a card from a regular deck of 52 cards, what is the probability of getting a club 3 times…

A: we want to find the probability of drawing a club three times in a row from a regular deck of 52…

Q: An container has 4 balls that are red and 6 balls that are blue. Two balls are chosen at random, one…

A: An container has 4 balls that are red and 6 balls that are blue. Two balls are chosen at random, one…

Q: 2. Each individual letter of the word Georgia is placed on a piece of paper, and all 7 pieces of…

A: Suppose each individual letter of the word "Georgia" is placed on a piece of paper.All pieces of…

Q: Suppose you ask a friend to randomly choose an integer between 1 and 10, inclusive.What is the…

A: The objective of this question is to find the probability that a randomly chosen integer between 1…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: If you pick a card from a regular deck of 52 cards, what is the probability of getting a club 3…

A: INTRODUCTION Probability is the measure of how likely something is to occur. It is expressed…

Q: Assume that 2 cards are drawn in succession and without replacement from a standard deck of 52…

Q: In a class of 100 students, 25 have hardcover and 75 students have paperback textbooks. If you…

A: d) According to the given information,Population size, N = 100Number of successes in population, K =…

Q: Suppose that a family has 3 children. Also, suppose that the probability of having a girl (based on…

A: family has 3 childrens P(boy)=P(girl) = 12P(family has no girl) = ?

Q: A suitcase contains 7 T-shirts, 4 pairs of shorts, and 6 pairs of pants. If a piece of clothing is…

A: We know the formula for finding the probability of an outcome is favourable outcomesTotal outcomes

Q: Suppose an animal shelter has 10 cats and 8 rabbits. One day, 3 of these animāls are chosen (in an…

Q: Suppose that a family has 6 children. Also, suppose that the probability of having a boy (based on…

A: given data, n= 6p(boy)=P(girl)=12x= no. of boys in familyP(x≥5) = ?

Q: Suppose that there are 1 red ball, 1 blue ball, and 3 white balls in an urn. A ball is drawn and…

A: Given Data: Number of red balls=1 Number of blue balls=1 Number of white balls=3 Total number of…

Q: Kristina Karganova invites 14 relatives to a party: her mother, 4 aunts, 2 uncles, 2 brothers, 1…

A: a) There are total 14 relatives, among which 2 brothers and 2 uncles.

Q: select one puppy at random with replacement (they may both select the same one), find the…

A: No.of poodles=4 No.of terriers=5 No.of retrievers=2 Total puppies=11

Q: Suppose there are 3 Americans, 9 Germans, and 6 Swiss in the room and we need to select a committee…

A: The following information has been provided: Number of Americans=3 Number of Germans=9 Number of…

Q: A pet store has 7 puppies, including 3 poodles, 2 terriers, and 2 retrievers. If Rebecka and Aaron,…

A: Total number of puppies = 7 Number of Poodles = 3 Number of Terriers = 2 Retrievers = 2 Selecting…

Q: Assume that 2 cards are drawn in succession and without replacement from an ordinary deck of 52…

A: GIVEN DATA, 2 cards are drawn in succession and without replacement from an ordinary deck of 52…

Q: A committee of 2 is chosen at random from a population of 4 men and 5 women. What is the probability…

A: given data, A committee of 2 is chosen at random from a population4 men5 women9-total members the…

Q: There are 1000 students in the year level and they have to participate in a certain activity. They…

A: Activity Skills Singing Dancing Acting Total Number of Students: 1000 Probability: The…

Q: A director needs 5 students to fill roles in her performance. 8 students, including Justin and Emma,…

A: In the world of theater, casting is a critical process that determines the individuals who will…

Q: To set up a password for a computer account, the password must consist of two lowercase letters (a…

A: It is required to find the total number of possible passwords, and the probability that the password…

Concept explainers

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.

Topic Video

Question

### Conditional Probability

---

#### Scenario:
A certain college class contains 49 students. Of these, 27 are juniors, 24 are mathematics majors, and 6 are neither. A student is selected at random from the class.

---

1. **What is the probability that the student is both a junior and a mathematics major?**

2. **Given that the student selected is a mathematics major, what is the probability that he is also a junior?**

---

#### Responses:
Write your responses as fractions. (If necessary, consult a list of formulas.)

---

**(a)** \[ \frac{}{49} \]

---

**(b)** \[ \frac{}{24} \]

---

**Explanation of Diagrams and Graphs:**

* There are checkboxes below the questions for inputting answers.
* Adjacent to the answers for (a) and (b), there are three icons:
- A checkbox (possibly for submitting the answer).
- A curved arrow (presumably for refreshing or redoing the calculation).
- A question mark (probably for help or additional instructions).

---

**Note:** Ensure to use proper fractions when computing and presenting the probabilities.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

d) Suppose we want to pick two numbers from {1,2, ..,100} randomly. What is the probability that the sum of the two picked numbers is divisible by 5.
A hacker is trying to guess someone's password.The hacker knows that the password is 4 digits long,and that each digit could be a number between 0 and 3.Assume that the hacker makes random guesses.What is the probability that the hacker guesses the password right on her first try?
Show all workings - use formulas: A group consists of 10 girls and 8 boys. A team of 9 are to be selected from this group. What is the probability that the team selected will consist of 5 girlsand 4 boys, but will not include ANY of 4 specific boys?
If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is not an 8? Your answer must be in the form of a reduced fraction. Write your answer must be in the form numerator/denominator
A box contains 4 red and 8 green marbles. You reach in and remove 3 marbles all at once. (a) Find the probability that these 3 marbles are all red. (Enter your answer as a fraction.)(b) Find the probability that these 3 marbles are all of the same color. (Enter your answer as a fraction.)
Suppose, you have removed all but the numbered cards from a deck of playing cards. Now, you have to pick one random card from these 36 numbered cards. The number that the card shows is the number of dice you roll together. What is the probability that after rolling the dice, no odd number shows up?
Consider a collection of envelopes consisting of 1 red envelope, 1 blue envelope, 3 green envelopes, and 3 yellow envelopes. If two envelopes are selected at random, with replacement, determine the probability that both are red envelopes. The probability that both envelopes are red is (Type an integer or a simplified fraction.)