Fifty students were surveyed about their favorite fruit. The following Venn diagramshows the result of the survey:Answer the following questions.1. If a student is randomly chosen,what is the probability that thestudent has mango and apple as hisor her favorite fruit?Mango1032. If a student is randomly chosen,2what is the probability that thestudent has banana or apple as hisor her favorite fruit?15AppleBanana3. If a student is randomly chosen,what is the probability that thestudent has only both mango andbanana as his or her favorite fruit?24.

Answered: Image /qna-images/answer/f93ca22d-e141-473c-bb98-9648c7842f69.jpg

Answered: Fifty students were surveyed about…

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...

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Two four sided dice are rolled and the numbers face up are recorded. a. What is the sample space? *List the outcomes, not the number of outcomes* b. Find the probability that you roll a total that is even. c. Find the probability that you roll at least one 2.
A spinner is divided into five equal regions, numbered 1 through 5, as shown below. The arrow is spun and lands in one of the regions. For each question: a. List the outcomes for the event. b. State the probability of the event. The arrow lands on an even number.
Adult men in a community are divided into three groups: Single, Married, and Divorced. The table below shows, for each group, the proportions that are local or expat. a. What is the probability that a randomly chosen man is both local and married?b. What is the probability that a randomly chosen man is divorced? Show your calculations.c. What is the probability that a randomly chosen man is expat? Show your calculations.d. What is the probability that a randomly chosen man is either local, married, or both? Showyour calculationse. What is the probability that a randomly chosen man is expat, given that he is single? Show your calculations.f. What is the probability that a randomly chosen man is divorced, given that he is local? Show your calculations.g. Are marital status and national identity independent? Show your calculations.
A researcher wants to know the personal preferences of students when it comes to fast food. She decides to gather some respondents from three different schools, and the table of frequencies are shown below. a. What is the probability that a randomly selected student is from School A, given that the student prefers KFC? b. What is the probability that a randomly selected student is either from School C and prefers Burger King or prefers Jollibee, given that the student is from School B?
5. A multiple choice exam consists of 20 questions. Each question consists of three (3) choices. A student is going to randomly guess each question's answer. A passing grade is getting at least 12 questions or more correct. a. What is the probability this student passes the exam? b. Use R to compute the exact value of the probability from part a.
There are 500 engineers who are working. The table provides some data of their employment status. Show your solving solution. a. What is the probability that the engineer is employed in Manila and in a construction firm? b. What is the probability that the engineer is employed in North Luzon and in a communication firm? c. What is the probability of an engineer is working in Region IV? d. What is the probability of an engineer is in manufacturing industry?
Please answer all the questions
1. Let's say if the distribution of the colors in a bag of M&M is 24% blue, 20% orange, 16% green, 14% yellow, 13% red, 13% brown. When you pick one M&M at random from this package. a. Describe the sample space. b. What is the probability that the one you pick is green? K
A coin is tossed and a die is rolled. a. List the outcomes in the sample space. b. Find the probability that the coin comes up heads and the number on the die is odd c. Find the probability that the coin comes up tails and the number on the die is even or both.
A spinner is divided into five equal regions, numbered 1 through 5, as shown below. The arrow is spun and lands in one of the regions. For each question: a. List the outcomes for the event. b. State the probability of the event. The arrow lands on an odd number.
. A group of 20 university students contains 8who are in their first year of study. A studentis picked at random to represent the group ata fair. Find the probability that the student isa first year student.
Use the following results from a test for marijuana use. Among 144 subjects with positive test results, there are 21 false positive results. Among 139 negative test results, there are 4 false negative results. a. How many subjects are included in the study? b. How many of the subjects had a true negative result? c. What is the probability that a randomly selected test subject had a true negative result?

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