| 5. A group of 62 students were surveyed, and it was found that each of the students surveyed liked at least one of the following three fruits: apricots, bananas, and cantaloupes. 34 liked apricots. 30 liked bananas. 33 liked cantaloupes. 11 liked both apricots and bananas. 15 liked both bananas and cantaloupes. 17 liked both apricots and cantaloupes. 19 liked exactly two of the following fruits: apricots, bananas, and cantaloupes. Find the following: d. How many students liked apricots, but not bananas or cantaloupes? e. How many students liked cantaloupes, but not bananas or apricots? f. How many students liked all of the following three fruits: apricots, bananas, and cantaloupes? g. How many students liked apricots and cantaloupes, but not bananas?

| 5. A group of 62 students were surveyed, and it was found that each of the students surveyed liked at least one of the following three fruits: apricots, bananas, and cantaloupes. 34 liked apricots. 30 liked bananas. 33 liked cantaloupes. 11 liked both apricots and bananas. 15 liked both bananas and cantaloupes. 17 liked both apricots and cantaloupes. 19 liked exactly two of the following fruits: apricots, bananas, and cantaloupes. Find the following: d. How many students liked apricots, but not bananas or cantaloupes? e. How many students liked cantaloupes, but not bananas or apricots? f. How many students liked all of the following three fruits: apricots, bananas, and cantaloupes? g. How many students liked apricots and cantaloupes, but not bananas?

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: Question: 65 kids was surveyed, and it was found that each of the kids surveyed liked at least one…

Q: A group of 2418 students were surveyed about the courses they were taking at their college with the…

Q: 2. Fred is testing a large prize wheel which has the numbers one, two, three, and four repeated…

A: Fred is testing a gigantic reward wheel with one, two, three, and four repeated around it. Fred spun…

Q: 6.3.26 13 people on a softball team show up for a game. (C) of the 13 people who show up, three are…

A: Consider the provided statement that there are 13 people on a softball team. Out of which 3 are…

Q: This is the second time I post this. The answer to the first one I posted, says 'Math Error' and I…

A: We have a total of 62 students who were surveyed. And each of them liked at least 1 of the fruits.…

Q: A researcher is comparing three new formulas for grass killer. To conduct the experiment, the…

A: The researchers purchases 30 pieces of sod from various vendors hence it helps in diversifying the…

Q: A survey is taken of 92 people who vacationed at a dude ranch. The following information was…

Q: A survey of 50 people finds: 13 like Coke. 9 like Sprite. 8 like Root Beer. 5 like Coke and Sprite.…

Q: In a certain forest, there are 6 couples of bears (couple 1, couple 2, .., couple 6, each couple…

A: Hi, I am going to answer 3 subparts as per our policy. Given: There are 6 couples (=12 distinct…

Q: 6. A survey was carried out to find if students in the theater department liked the following three…

A: Given: Total = 51 students

Q: Assume that 130 students are surveyed and every student takes at least one of the following…

Q: Tell whether each of the following questions is biased or fair. Why? a. What is your favorite color?…

A: 1) Option (A) is incorrect as choosing any particular color does not put other colors in the bad…

Q: 5. A group of 62 students were surveyed, and it was found that each of the students surveyed liked…

A: Let A represent the students who like apricots B represent the students who like bananas C represent…

Q: For which of the following is a matched pairs t-test not appropriate? a.Heights of 50 randomly…

A: Matched pair t test measure the difference between pre and post situations.

Q: 6. Two boxes with letters follow. You are to choose a box and draw three letters at random, one by…

A: You should choose Box 1. The probability of drawing SOS from Box 1 is 1, since there's only one…

Q: Suppose that a coach must select 5 players to play on a basketball team. • The coach has 13 players…

A: The coach has 13 player to select from And only 4 players can play center, so one of them has to be…

Q: A researcher is comparing three new formulas for grass killer. To conduct the experiment, the…

A: The researcher purchases 30 pieces of sod from various vendor it helps in diversifying the…

Q: 3. There are 5 players on the Rockets 3-on-3 basketball team. a. From these 5 players how many 3…

A: Please find the explanation below. Here we are using the basics of permutations and combinations to…

Q: . Gaydar A study conducted by a team of Americanand Canadian researchers found that during…

Q: elected an A psychologišt abstract painting that had no obvious top or bottom. Hangers were placed…

A: State the hypotheses. Null hypothesis: Alternative hypothesis: Obtain the value of the test…

Q: 1.) A poll was taken of 214 students at a commuter campus to find out how they got to campus. How…

A: We need to find no. of students. As per Bartleby guidelines we can solve one question. Upload other…

Q: (15) Ten people are sitting around a round table. How many different sittings are pos- sible in the…

A: (a) In this case, we can fix the individual's placement at the designated chair (the head of the…

Q: Describe blinding in experiments. Which of these represents a blind experiment? a.) Asking a group…

A: Blinding: The blinding in an experiment means the non-disclosure of the treatment that a particular…

Q: Which of the following situations could produce biased results? A. To find how many people wear…

A: Given the statements to see which results in biased results.

Q: A professor has a class with four recitation groups. Each section has 7 students. Determine…

A: Given The data is as follows: Group 1 Group 2 Group 3 Group 4 88.8 83.7 77.1 84.4 90.6 70.7…

Q: ment. The first person to wi two ga games wins the tournament. Show the sample space in tree…

A: (a)There are six digits 2,3,5,6,7 and 9 and since repetition is not allowed,Therefore, number of…

Q: 2. Molly really enjoyed country music. After listening one afternoon to her favorite station foran…

A: The given information:There are a total of 25 songs. All the truck drivers are in love. Three fourth…

Q: exercise. Which among the choices further reflects the conclusion? * There is no difference between…

Q: Q.1)There were 150 pupils on a year 7 sponsored walk. 40% of the pupils were boys. 20% of the girls…

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

Q: Does the order in which wine is presented make a difference? Several choices of wine are presented…

Concept explainers

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.

Question

5. A group of 62 students were surveyed, and it was found that each of the students
surveyed liked at least one of the following three fruits: apricots, bananas, and
cantaloupes.
34 liked apricots.
30 liked bananas.
33 liked cantaloupes.
11 liked both apricots and bananas.
15 liked both bananas and cantaloupes.
17 liked both apricots and cantaloupes.
19 liked exactly two of the following fruits: apricots, bananas, and cantaloupes.
Find the following:
d. How many students liked apricots, but not bananas or cantaloupes?
e. How many students liked cantaloupes, but not bananas or apricots?
f. How many students liked all of the following three fruits: apricots, bananas, and
cantaloupes?
g. How many students liked apricots and cantaloupes, but not bananas?

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

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Conditional Probability, Decision Trees, and Bayes' Theorem$

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

) Suppose a man has ordered twelve 1-gallon paint cans of a particular color (lilac) from the local paint store in order to paint his mother’s house. Unknown to the man, three of these can contains an incorrect mix of paint. For this weekend’s big project, the man randomly selects four of these 1-gallon cans to paint his mother’s living room. Let x = the number of the paint cans selected that are defective. Unknown to the man, x follows a hypergeometric distribution. Find the probability that a least one of the four can selected contains an incorrect mix of paint. A) 78182 B) 74545 C) 50909 D) 49091
1. A storeowner wishes to see if people have a favorite day of the week to shop. Asample of 400 people is selected, and each is asked his her preference. The data areshown. At a = 0.05, test the claim that shoppers have no preference.Day Sun. Mon. Tue. Wed. Thurs. Fri. Sat.Number 28 16 20 26 74 96 1402. In a recent study, the following percentages of Lebanese retail TV sales based on sizewere reported: 27.2% small, 46.5% midsize, 8% large, and 18.3% luxury. A recentsurvey of retail TV shop in Beirut indicated that out of 100 TVs sold, 25 were small,50 were midsize, 10 were large, and 15 were luxury. At α = 0.05, is there sufficientevidence to conclude that the percentages differ from those stated in the report.3. A Nutritionist wishes to determine if there is a difference in the type of exercisesselected by male and female customers. A random sample of males and femalesprovides the following data. At α=0.05, can it be concluded that the type of exercisesselected is independent of the…
4.2.55 Question Help A committee consists of five executives, three women and two men. Their names are Christine (C), Barry (B), Francisca (F), Trevor (T), and Olivia (0). The committee needs to select a chairperson and a secretary. It decides to make the selection randomly by drawing straws. The person getting the longest straw will be appointed chairperson, and the one getting the shortest straw will be appointed secretary. The possible outcomes are shown in the accompanying table. Here, for example, CF represents the outcome that Christine (C) is appointed chairperson and Francisca (F) is appointed secretary. List the outcomes constituting each of the four events below. Click the icon to view the outcomes of the committee selections. Event E, is defined as the event a male is appointed chairperson. What outcomes constitute event E, ? О А. СВ, СТ, FB, FT, ОB, ОТ, ВС, BF, ВО, ВТ, тс, TF, ТО, ТВ В. ТС, TF, ТО, ТВ C. CF, CO, CB, FC, FO, FB, OC, OF, OB D. BC, BF, BO, вт Outcomes of…
5. An office manager is looking to purchase a new printer for his office. He has narrowed his choices down to four printers but cannot decide which of the four he prefers. He has decided to choose two of the four printers at random, and then to let the other members of the office decide which of the two they prefer. The speeds, in pages per minute, of the four printers are 25, 30, 27, and 32. Considering the speeds of the two printers chosen to be the sample, what are the mean and the standard deviation of the sample mean?
alow.P many ways can they sit in a row if the boys and girls are each to sit together? (c) In how many ways can they sit in a row if just the girls are to sit together? 5. How many different signals, each consisting of 6 flags hung in a vertical line, can be formed from 4 identical red flags and 2 identical blue flags? In how many ways can a committee consisting of 3 men and 2 women be chosen from 7men and 5 women? alactod each vear from college to attend the National Student
A group of 499 students were surveyed about the courses they were taking at their college with the following results:228 students said they were taking Math.213 students said they were taking English.237 students said they were taking History.61 students said they were taking Math and English.84 students said they were taking Math and History.74 students said they were taking English and History.17 students said they were taking all three courses.How many students took Math, English, or History ?
. Among a group of 100 book enthusiasts: 40 people like mystery novels, 60 like science fiction novels, 30 likeromance novels, and 10 like both mystery and romance novels. While all surveyed liked at least one genre ofnovel, it has been established that none of the people like both science fiction and romance novels. Howmany people like both mystery and science fiction novels?
Only answer the last two questions: A group of 62 students was surveyed, and it was found that each of the students surveyed liked at least one of the following three fruits: apricot, bananas, and cantaloupes. 34 liked apricots 30 liked bananas 33 liked cantaloupes 11 liked apricots and bananas 15 liked bananas and cantaloupes 17 liked apricots and cantaloupes 19 liked exactly two of the fruits How many students liked: a. bananas or apricots? Answer: 53 b. apricots and bananas but not cantaloupes? Answer: 3 c. cantaloupes or apricots but not bananas? Answer: 33 d. at least two of the fruits? _______ e. at most two of the fruits? ________Note: show the detailed and clear solution
For a class project, a group of students were curious if there was a connection between color preferences and movie preferences (e.g., if people who liked brighter colors preferred uplifting/funny movies and people who liked darker colors liked dramas). Participants in the study were first asked them to select which color they most preferred, choosing between: red, blue, yellow, or green. Next, participants watched the movie Everything Everywhere All at Once and were asked to give it a rating between 0 and 100. Later, the students tested whether there was a difference in rating based on color preference. Which of the following analyses would BEST apply to this study?
2. Which of the following groups of students at Oxnard College would be smallest? Students that are taking a history class. Students that are taking a math class. Students that are taking a history class or a math class. Students that are taking a history class and a math class.