A group of 12 students are located in the following time zones: 3 PST, 2 MST, 2 CST, 5 EST.Four students are randomly selected from this group. a) What is the probability that they are in the same time zone? b) What is the probability that they are all in different time zones? c) What is the probability that exactly two time zones will be represented in this group?

A group of 12 students are located in the following time zones: 3 PST, 2 MST, 2 CST, 5 EST.Four students are randomly selected from this group. a) What is the probability that they are in the same time zone? b) What is the probability that they are all in different time zones? c) What is the probability that exactly two time zones will be represented in this group?

Name: A group of 12 students are located in the following time zones: 3 PST,
Uploaded: 2024-03-20T06:46:55.000Z
Channel: Bartleby
Description: A group of 12 students are located in the following time zones: 3 PST, 2 MST, 2 CST, 5 EST.Four students are randomly selected from this group.a) What is the probability that they are in the same time zone?b) What is the probability that they are all

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: When two balanced dice are rolled,there are 36 possible outcomes.What is the probability that the…

Q: Assume that when adults with smartphones are randomly selected, 37% use them in meetings or…

A: We have given that, Probability (p) = 37% = 0.37 . n = 9 . And x=2 .

Q: committee has thirteen members. There are two members that currently serve as the board's chairman…

A: Solution: Given data A committee has thirteen members Therefore total members = 13 2 = members…

Q: In New York State's Quick Draw lottery, players choose between one and ten numbers that range from…

A: It is given that in a lottery game, players choose between 1 and 10 numbers that range from 1 to 80.…

Q: The student registration numbers from 1 to 20 are mixed up and one registration number is drawn out…

A: Given n = 20 hence n(S) = 20 Probability = favourable outcomestotal outcomes

Q: In a statistics class of 42 students, there were 11 men and 31 women. Six of the men and seven of…

Q: In a bag of marbles, there are 12 green, 12 blue, and one red. Find the probability for each…

A: As per given by the question, there are 12 green, 12 blue, and one red marbles in a bag. Now, 1.…

Q: In a college of 1600 students, each student takes 5 courses that meet three times per week, and…

A: Given, total students (n) = 1600, total courses (c) =5 and total classes (C) = 3 per week Total…

Q: Students who live on campus and purchase a meal plan are randomly assigned to one of seven dining…

A: Given: Total number of halls = 7 Number of dining halls chosen = 1

Q: A physics class has 50 students. Of these, 18 students are physics majors and 16 students are…

A: From the given information, total number of students n(S) = 50. Number of physics majors n(Physics)…

Q: A quiz has 12 multiple choice questions with each having 3 choices. Suppose a student decides to…

Q: A coin is tossed five times. What is the probability of getting 3 tails in these five tosses? Enter…

Q: wo cards are selected from a standard deck of 52 playing cards. The first card is not replaced…

A: Total number of cards = 52 The probability of getting a diamond card = 13/52 The probability of…

Q: Assume that when adults with smartphones are randomly selected, 55% use them in meetings or…

A: As each adult has two options "To use smartphones in meetings or classes" or "Not to use smartphones…

Q: A shelf has 6 Java books and 4 python books. what is the probability that three particular Java…

Q: Use the attached random digit table to estimate the probability of the event that at least 2 people…

A: Random digit table is read from left to right and from top to bottom.

Q: Assume that when adults with smartphones are randomly selected, 55% use them in meetings or…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: A pair of fair dice are rolled one time. What is the probability that the sum of the two dice is…

A: Here we have to probability that sum of two dice is equal to 4 or sum is odd number when a pair of…

Q: Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced…

Q: 8. 18 members of our class line up for the "Data Club" math photo. If we line up randomly what is…

Q: In a group of 103 students, 34 are diploma level and 22 are bachelor level. Find the probability…

A: Given that Group of 103 students 34 are diploma level and 22 are bachelor level Now, the number of…

Q: three coins are flipped until all heads appear. what is probability that all heads will appear on…

A: Geometric distribution: The probability mass function of Geometric distribution is P(n) = p(1 – p)n…

Q: The first 8 alphabets are written down at random. what is the probability that the letters b,c,d,e…

Q: Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced…

A: We have to find probability..

Q: 14 persons are seated around a circular table. Find the that 3 particular persons always seated…

Q: An urn contains three red, three black, and three green balls. If two balls are selected at random…

A: To work out the probability of the required event

Q: Twelve adults were surveyed and asked how many children they had. The results are:…

A: Twelve adults were surveyed . The results are: 1,3,0,2,2,0,1,1,3,2,0 Number of adults with at…

Q: A 4-digit PIN is selected. What is the probability that there is exactly one repeated digit and that…

A: In a 4 digit pin each of the positions can be filled with one of the 10 digits. Therefore one…

Q: Assume that when adults with smartphones are randomly selected, 57% use them in meetings or…

A: Let X be the number of adults use their smartphones in meetings or classes which follows binomial…

Q: assume that when adults with smartphones are randomly selected, 44% use them in meetings or classes.…

Q: Five grade 10 students, six grade 11 students and four grade 12 have signed up for a trip. Only four…

Q: Some Ajman license car plates have one letter followed by a number with 4 digits .(No restriction…

Q: Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes.…

A: Denote X as the adults who use their smartphones in meetings or classes, which following binomial…

Q: Two distinguishable (for example, one blue one green) six-sided dice are rolled. Find the…

A: The points where it is possible are (1,3),(3,1),(2,2). The total number of possiblities are 36.

Q: A pair of dice is rolled eight times. What is the probability of rolling 2's exactly 3 times?

A: Givena pair of dice rolled 8 timesn=8p=136=0.028x~Binomial(n=8,p=0.028)

Q: Suppose that 57% of people own dogs. If you pick two people at random, what is the probability that…

A: Provided data is, 57% of people own dogs. Two people picked up randomly. The required probability…

Q: A reporter for an international newspaper is given an assignment that is randomly chosen from the…

A: 1111 continental United States assignments, 1717 South American assignments, 2525 European Union…

Q: In a sample of 100 voters from the same state, who voted for either the Democratic or Republican…

A: Given: Sample size, n is 100 The number of voters voted for Democratic candidate for governor is 55.…

Q: Assume that when adults with smartphones are randomly selected,45 % use them in meetings or…

A: We have given that the random variable X i.e. smartphone follows a Binomial distribution with…

Q: A stick is broken into two at random; then the longer half is broken again into two pieces at…

Concept explainers

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.

Topic Video

Question

A group of 12 students are located in the following time zones: 3 PST, 2 MST, 2 CST, 5 EST.Four students are randomly selected from this group.

a) What is the probability that they are in the same time zone?

b) What is the probability that they are all in different time zones?

c) What is the probability that exactly two time zones will be represented in this group?

Video Video

Expert Solution

Step 1

Given information:

Total number of students $(n) = 12$

The 12 students are located in the time zones as follows:

PST: 3 students

MST: 2 students

CST: 2 students

EST: 5 students

Four students are randomly selected.

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Fundamentals of Trigonometric Identities$

Learn more about

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

Similar questions

The first 8 alphabets are written down at random. what is the probability that the letters b,c,d,e always come together?
Assume that when adults with smartphones are randomly selected, 57% use them in meetings or classes. If 30 adult smartphone users are randomly selected, find the probability that exactly 24 of them use their smartphones in meetings or classes.
Assume that when adults with smartphones are randomly selected, 37% use them in meetings or classes. If 15 adult smartphone users are randomly selected, find the probability that exactly 9 of them use their smartphones in meetings or classes.
A reporter for an international newspaper is given an assignment that is randomly chosen from the following destinations worldwide: 13 continental United States assignments, 15 South American assignments, 19 European Union assignments, and 99 Asian assignments. Find the probability that he gets an assignment in South AmericaSouth America or the European Unionthe European Union.
Assume that when adults with smartphones are randomly selected, 44% use them in meetings or classes. If 30 adult smartphone users are randomly selected, find the probability that exactly 19 of them use their smartphones in meetings or classes.
If one person is chosen, what is the probability that a women is wearing sandals and dress shoes?
Assume that when silts with smartphones are randomly selected 37% use them in meetings or class. IF 6 adult smartphone users are randomly selected, find the probability that exactly 4 of them use their smartphones in meetings or classes.
Last semester, a certain professor gave 21 As out of 330 grades. If one of the professor's students from last semester were selected randomly, what is the probability that student received an A? (Assume that each student receives one grade.)
American Airlines flights from Chicago to Dallas are on-time 71% of the time. Suppose 5 flights are randomly selected, and the number of on-time flights is recorded. The probability that exactly 4 flights are on time is The probability that at most 4 flights are on time is The probability that at least 4 flights are on time is
Katy has 61 students in her MTH 103 class. There are 35 students who identify as female. Each day Katy calls on 5 different students to present their work to the class. What is the probability that all 5 students Katy calls on identify as female?
The identification code on a bank card consists of 1 digit followed by 2 letters. The code must meet the following conditions: The digit must be odd. The letters A, E, I, O, and U cannot be used. Letters cannot be used more than once. What is the probability that someone guesses the identification code correctly?
A shipment contains 12 igneous, 10 sedimentary, and 10 metamorphic rocks. If 5 rocks are selected at random, find the probability that exactly 3 are sedimentary. The probability that exactly 3 of the rocks are sedimentary is (Round to four decimal places as needed.)