Name:á the first toss doesd toss, so PCay that A and B arethe first toss was a head doesond toss is a head given that thechangeD-Period:Part DSHEIn one large city, 40% of all households own a dog, 32% own a cat, and 18% ownboth. Suppose we randomly select a household and record which type of pet isowned by that household.(a) Make a Venn diagram to display the sample space of this chanceprocess using the events D: owns a dog and C: owns a cat.GT(b) Find the probability that the resident owns a dog and not a cat.

Answered: Image /qna-images/answer/f1df438f-eb83-4181-b2e4-9b0eebe799a5.jpg

Answered: Name: Period: Part D In one large city,…

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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In the game show “Deal or no Deal?”, a contestant must first choose 5 boxes out of 22 to be opened. Each box contains a different amount of money. Once a box has been opened, its contents can no longer be won. For each question, explain your reasoning carefully: (a) What is the probability that the contestant chooses the most valuable box? (b) What is the probability that the contestant chooses at least one of the top 5 most valuable boxes
Ponderosa Paint and Glass carries three brands of paint. A customer wants to buy another gallon of paint to match paint she purchased at the store previously. She can’t recall the brand name and does not wish to return home to find the old can of paint. So, she selects two of the three brands of paint at random and buys them. What is the probability that she matched the paint brand? Her husband also goes to the paint store and fails to remember what brand to buy. So, he also purchases two of the three brands of paint at random. Determine the probability that both the woman and her husband fail to get the correct brand of paint. (Hint: Are the husband’s selections independent of the wife’s selections?)
Suppose two companies, Company A and Company B, produce all the widgets in Ottawa. Company A produces 70% of all the widgets in Ottawa. 20% of widgets produced by Company A are defective. 10% of widgets produced by Company B are defective. If a widget is chosen at random, what is the probability it is defective? Select one: a. 0.07 b. 0.17 c. 0.13 d. 0.03 e. 0.14
In a survey of readers of a US Weekly magazine a question was asked, “Which do you prefer: Facebook or Twitter?” There were 362 responses from females and 216 responses from males. 281 females and 98 males stated they prefer Facebook. Use proper notation to state the probabilities. (a) Create a two-way table to organize the responses to the survey. Determine the totals of the rows and columns. (b) Define events F: the survey response was from a female and T: the survey response was from a person who preferred Twitter. Create a Venn Diagram to organize the responses to the survey. (c) What is the probability that a randomly selected reader is female and prefers Twitter? (d) Of the respondents who prefer Twitter, what is the probability that the respondent is female? (e) Suppose a female reader is selected at random, what it the probability that she prefers Twitter? (f) Are the events being female and preferring Twitter independent? (g) Are the events being female and preferring…
Write out the sample space and assume each outcome is equally likely. Then give the probability of the requested outcomes. A man is shopping for a new patio umbrella. There is a 7-foot and a 12-foot model, and each is available in black, forest green, and rust. (a) He buys a 12-foot forest green umbrella. (b) He buys a 7-foot umbrella. (c) He buys a black-colored umbrella. (a) He buys a 12-foot forest green umbrella. The probability is. (Type a simplified fraction.)
A bar offers alcoholic and non-alcoholic beverages. They have 12 alcoholic beverages that cost $10 or more, and 5 alcoholic beverages that cost less than $10. They also have 5 non-alcoholic beverages that cost $10 or more, and 10 non-alcoholic beverages that cost less than $10. Suppose I choose a drink at random from the menu. What is the chance that it is alcoholic, given that costs $10 or more? Choose the answer that is closest. Group of answer choices 70.6% 33.33% 37.5% 20.5%
Example 2.17 Of the voters in a city, 40% are Republicans and 60% are Democrats. Among the Republicans 70% are in favor of a bond issue, whereas 80% of the Democrats favor the issue. If a voter is selected at random in the city, what is the probability that he or she favor the bond issue?
Solve it
According to the college registrar's office, 45% of students enrolled in an introductory statistics class this semester are freshmen, 20% are sophomores, 25% are juniors, and 10% are seniors. You want to determine the probability that in a random sample of five students enrolled in introductory statistics this semester, exactly two are freshmen. (a) Describe a trial. Can we model a trial as having only two outcomes? If so, what is success? What is failure? Choose one of the statements below:A. A trial consists of looking at the class status of a student enrolled in introductory statistics. Yes we can model this trial with "freshman" being a success and "any other class" as a failure.B. A trial consists of looking at the class status of a student enrolled in introductory statistics. Yes we can model this trial with "junior" being a success and "any other class" as a failure.C. A trial consists of looking at the class status of a student enrolled in introductory statistics. Yes we can…
4- In a hospital unit there are 12 nurses and 7 physicians. 6 nurses and 4 physicians are female. If a staff person is selected, find the probability that subject is a nurses or male. Do the sample space.
Kevin is hiring two interns, and all applicants are either enrolled at Reading College (R) or Beekman College (B). He randomly picks two interns from the entire set of applicants. The tree diagram below shows the probabilities of the different outcomes. Based on the diagram, what is the probability of hiring two interns from Reading College? Provide the final answer as a fraction.

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