A certain university has 16 vehicles available for use by faculty and staff. Four of these are vans and 12 are cars. On a particular day, only two requests for vehicles have been made. Suppose that the two vehicles to be assigned are chosen at random from the 16 vehicles available. (Enter your answers as fractions.) (a) Let E denote the event that the first vehicle assigned is a van. What is P(E)? (b) Let F denote the probability that the second vehicle assigned is a van. What is P(F | E)?

A certain university has 16 vehicles available for use by faculty and staff. Four of these are vans and 12 are cars. On a particular day, only two requests for vehicles have been made. Suppose that the two vehicles to be assigned are chosen at random from the 16 vehicles available. (Enter your answers as fractions.) (a) Let E denote the event that the first vehicle assigned is a van. What is P(E)? (b) Let F denote the probability that the second vehicle assigned is a van. What is P(F | E)?

Name: A certain university has 16 vehicles available for use by faculty and
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: A certain university has 16 vehicles available for use by faculty and staff. Four of these are vans and 12 are cars. On a particular day, only two requests for vehicles have been made. Suppose that thetwo vehicles to be assigned are chosen at random

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: The group of students who are selecting 2 of their group at random to give a report, but assume that…

A: Given: The group of students who are selecting 2 of their group at random to give a report, but…

Q: Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at…

A: If n objects are drawn without replacement from N objects of which a objects are of type 1 and b…

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

A: There are total marbles n= 3 red+4green+3 white+2 purple = 12 marbles. Then Probability of selecting…

Q: Q 1: Let K be the last number of your registration number. Then, in a high schoc graduating class of…

A: Given: K be the last number of registration number . N=Number of students=100 A=Number of student…

Q: Defective components: A lot of 9 components contains 4 that are defective. Two components are drawn…

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

A: Find the probability that Suzan get all the red marbles as follows. The total number of outcomes is…

Q: John has 10 ties (7 are blue and 3 are red) and 4 pairs of shoes (2 brown and 2 black). He selects…

A: Given information: The number of blue ties is n(BT) = 7. The number of red ties is n(RT) = 3. The…

Q: Suppose a student is selected at random from 100 students where 30 are taking ME, 20 are taking EE,…

Q: Suppose that 35% of people have a dog, 21% of people have a cat, and 16% of people own both. someone…

A: Given that,35% of people have a dog21% of people have a cat16% of people own both

Q: A hat contains 25 Red slips of paper and 29 Yellow slips of paper (and nothing else). Two slips are…

A: Total number of slips is 25+29 =54. It is known that hat contains 25 red and 29 yellows slips. The…

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

A: Total Marbles = 3 Red + 4 Green + 3 White + 1 Purple = 11 To Find P(Not all red) = 1 - P(All red)

Q: a. What is the probability that the student is in proper uniform? b. A female student is picked at…

Q: A certain university has 20 vehicles available for use by faculty and staff. Five of these are vans…

A: The information provided in the question are as follows :-and

Q: A hat contains 25 Red slips of paper and 29 Yellow slips of paper (and nothing else). Two slips are…

A: According to the provided information, Red slips of paper = 25 Yellow slips of paper = 29 Total…

Q: A person is selected at random during the Republican National Convention. Suppose the probability…

A: Given, The probability that the person selected is a woman is, P(W) = 37% = 0.37The probability that…

Q: Of the 50 automobiles in a used car lot, 10 are silver. If 5 automobiles are selected to be sold at…

A: 20) According to the given information,Total number of automobiles, N= 50Number of automobiles are…

Q: A certain university has 12 vehicles available for use by faculty and staff. Four of these are vans…

A: We have given that Number of vans = 4 Total number of vehicles = 12

Q: Suppose that 12% of the families in a certain community have no children, 22% have one, 34% have…

A: Answer:- According to the given information, P( no children) = 12% = 0.1200 P( one children) = 22%…

Q: Ex.2 in family consist of 4 children account the probability of: a- At least having one child male.…

A: (a) Obtain the probability of having at least having one child male. The probability of having…

Q: f there are 19 people in a room, and 1 of them are wearing blue shirts, what is the probability that…

Q: Suppose that 22% of people have a dog, 15% of people have a cat, and 2% of people own both. What is…

A: Given that, 22% of people have a dog15% of people have a cat2% of people own both

Q: .. A bag contains 5 white and 3 black balls. Two balls are drawn at random one after the other…

A: GivenA bag contains No.of white balls = 5No.of black balls = 3Total no.of balls = 8

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

A: The total number of marbles is: N=3+4+3+2=12 Suzan grabs total of n=7 marbles. The probability that…

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: (iv) Are the events 'Korea' and 'Black' Mutually Exclusive? Justify your response. [2] (v) Are the…

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

A: Lets, specify the event E as, Suzan has no more than one white marble among the 5 marbles. The…

Q: For this problem, assume the box contains 8 white balls, 5 blue balls, and 4 red balls, and that we…

A: Number of white balls is 8. Number of blue balls is 5. Number of red balls is 4.

Q: (a) The probability that you get all Limes. (b) The probability that you get exactly 2 Lemons. (c)…

A: It is given that The total different citrus fruits = 38Oranges = 8Limes = 20Lemons = 6Grapefruits =…

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: Assume for this problem that the company has 7 Jeeps and 4 Fords, and two cars are selected randomly…

A: From 7 jeep representative select 2 jeep cars in 7C2 ways. There are total 11 cars including both…

Q: A hat contains 25 Red slips of paper and 29 Yellow slips of paper (and nothing else). Two slips are…

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

A certain university has 16 vehicles available for use by faculty and staff. Four of these are vans and 12 are cars. On a particular day, only two requests for vehicles have been made. Suppose that the
two vehicles to be assigned are chosen at random from the 16 vehicles available. (Enter your answers as fractions.)
(a) Let E denote the event that the first vehicle assigned is a van. What is P(E)?
(b) Let F denote the probability that the second vehicle assigned is a van. What is P(F | E)?
(c) Use the results of parts (a) and (b) to calculate P(E n F).

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

Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, two green ones, five white ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She has at least one green one.
P2. Um A has 2 white and 3 black balls, Um B has 4 white and i black, Um C has 3 white and 4 black balls. An urn is selected at random and a ball is drawn at random is found to be white. Find the probability that Um A was selected.
A director needs 5 students to fill roles in her performance. 8 students, including Justin and Emma, are available to participate. Assuming the roles are filled at random from the available students, find the probability that both Justin and Emma are placed in roles given that at least one of them has a role in the performance. Choose from the following answers: 6/25 3/25 None are correct 4/5 3/250 2/5
Q4. There are two urns. The first urn contains 3 white and 7 black balls; the second contains 6 white and 4 black balls. One ball is taken out of the first urn at random and and put it into the second urn, and then one ball was taken out of the second urn. (a) Find the probability that the removed ball is white. (b) It is known that the ball taken from the second urn was white. Find the probability that a white ball was transferred from the first urn to the second.
fair die is rolled three times. A 5 is considered "success," while all other outcomes are "failures." Find the probability of 2 successes. The probability of 2 successes is (Type an integer or a simplified fraction.) ...
Suppose that 30% of people have a dog, 17% of people have a cat, and 10% of people own both. What is the probability that someone owns a dog or a cat? The probability of a person having a dog or a cat is (Type an integer or a decimal.)