120 students are surveyed about their pets, and the results are recorded in the table. Let event A be a grades 9-10 student being selected and event B be a student with at least one pet being selected. Based on the table, are these events independent? Why or why not? Grades Grades Total 9-10 10-11 At least 1 54 36 90 pet No pets 18 12 30 Total 72 48 120 Yes, because P(A and B) = P(A). No, because P(A and B) = P(A) x P(B). O Yes, because P(A and B) = P(A) x P(B). No, because P(A) P(B).

120 students are surveyed about their pets, and the results are recorded in the table. Let event A be a grades 9-10 student being selected and event B be a student with at least one pet being selected. Based on the table, are these events independent? Why or why not? Grades Grades Total 9-10 10-11 At least 1 54 36 90 pet No pets 18 12 30 Total 72 48 120 Yes, because P(A and B) = P(A). No, because P(A and B) = P(A) x P(B). O Yes, because P(A and B) = P(A) x P(B). No, because P(A) P(B).

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

Given P(A) = 0.71, P(B) = 0.56, P(C) = 0.26 and that events A, B, and C are independent, what is P(A, B, and C). Answer in decimal form. Round to 3 decimal places as needed.
In a survey, respondents were asked to indicate their favorite brand of cereal. They were only allowed one choice. What is the concept that implies it is not possible for a single respondent to state more than one brand as their favorite cereal? Choose the correct answer below. O A. independent events O B. mutually exclusive events O C. dependent events
Suppose that, for events A and B, P(A)= 0.2, P(B)= 0.85, and P(AandB)= 0.17. Are A and B disjoint? Explain your answer in one or two sentences.
Forty students in the second grade class listed their hair and eye colors in the table below: Brown hair Blonde hair Total Blue eyes 5 12 17 Brown eyes 16 7 23 21 19 40 Are the events "blonde hair" and "brown eyes" independent?
A box contains 3 red and 4 blue marbles. Two marbles are drawn at a time, without replacement. Use a probability tree to answer the following questions: a. Find the probability that both marbles drawn are red. b. Find the probability that the first marble drawn was blue, given that the second was red. Thank you!
1) The question screenshot is attached down below just need final answer.
Giving a test to a group of students, the grades and gender are summarized below A BC Total Male 15 16 7 Female 10 9 Total 25 25 9 38 2 21 59 If one student is chosen at random, Find the probability that the student was male OR got an "B".
In one area, 6% of the population drive luxury cars. However, 25% of the CPAS drive luxury cars. Are the events "person drives a luxury car" and "person is a CPA" independent? Are these events independent? O No 00 O Yes CHE
A survey was done in regards to what type of animals are preferred as pets. Each respondent selected their top choice of animal for a pet. Respondents selected from: dog, cat, farret, fish, and bird. After the survey was completed, 41% picked dog, 34% picked cat, 4% picked farret, 8% picked fish, and 13% picked bird. Suppose three respondents were chosen at random. What is the probability that AT LEAST ONE of them picked dog? Round the answer to 3 decimal places.
Given P(A) = 0.10, P(B) = 0.63, P(C) = 0.53 and that events A, B, and C are independent, what is P(A, B, and C). Answer in decimal form. Round to 3 decimal places as needed.
There are 100 students surveyed. 46 are taking Calculus, 24 are taking Spanish, and 12 are taking both Calculus and Spanish. If a student is picked at random, what is the probability that the student is taking Calculus or Spanish? O A. 70% C. 46% B. 82% O D. 58%