A company has been running a television advertisement for one of its new products. A survey was conducted. Based on its results, it was concluded that an individual buys the product with probability 56%, if he/she saw the advertisement; and buys with probability 8%, if he/she did not see it. Twenty-five percent of people saw the advertisement. a) Plot a tree diagram with probability for the problem above. b) What is the probability that a randomly selected individual will buy the new product? c) What is the probability that at least one of randomly selected five individuals will buy the new product? *Help me solve this question with a detailed solution. Thank you in advance.

A company has been running a television advertisement for one of its new products. A survey was conducted. Based on its results, it was concluded that an individual buys the product with probability 56%, if he/she saw the advertisement; and buys with probability 8%, if he/she did not see it. Twenty-five percent of people saw the advertisement. a) Plot a tree diagram with probability for the problem above. b) What is the probability that a randomly selected individual will buy the new product? c) What is the probability that at least one of randomly selected five individuals will buy the new product? *Help me solve this question with a detailed solution. Thank you in advance.

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

Similar questions

A researcher finds that the odds of catching a grouper on a fishing expedition are 3:1. Find the probability of catching a grouper on two consecutive trips.
Problem: A shop receives a batch of 1000 cheap laptops. The probability that a laptop has a defective part is 0.5%. LetX be the numnber of laptops with a defective part in the batch. A. What kind of distribution does X have? B. What is the probability that the batch contains no laptop with a defective part? C. What is the probability that the batch contains at least two laptops with a defective part?
A restaurant randomly chooses what to include on its pizza of the day. The meat choices are pepperoni or sausage. The vegetable options are mushrooms, onions, or peppers. The crust options are sesame seed or garlic. Using a tree diagram, determine the probability of a pizza of the day including pepperoni, onions, and garlic crust on a given day? Express your answer as a percentage.
On a university campus, 60%, 30%, and 10% of the computers use Windows, Apple, and Linux operating systems, respectively. A new virus affects 3% of the Windows, 2% of the Apple, and 1% of the Linux operating systems. What is the probability a computer on this campus has the virus? If a randomly chosen computer on this compass has the virus, what is the probability it is a Windows machine?
[item#12] Instructions: Kindly read the question carefully and provide answer correctly and completely. Otherwise, I will dislike your solution.
A hotel asked its customers to rate their stays as Excellent, Good, Fair, or Poor. The accompanying table shows the frequency of each rating as well as the gender of the customer. ONLY DO PARTS D AND E d. Determine the probability that a randomly selected customer was a man who rated his stay as Good. e. Determine the probability that a randomly selected customer was either a woman or rated his or her stay as Fair.
Question 11
Mrs b. A salesman has a 40% probability of making a sale to any customer who enters his department. On a typical day, he will meet 20 customers. What minimum number of sales will he have an 95% certainty of making for any given day.
Role-playing games like Dungeons & Dragons use many different types of dice. Suppose that a four-sided die has faces marked 1, 2, 3, and 4. The intelligence of a character is determined by rolling this die twice and adding 1 to the sum of the spots. The faces are equally likely, and the two rolls are independent. What is the average (mean) intelligence for such characters?
Brian is in charge of the mailroom of the Boryk Corporation. Each day the company receives several packages via the U.S. Postal system, for which he must sign. The following is the probability distribution for the number of daily pieces of mail that comes via the Postal system.
Task 3. The automobile engine plant delivered a batch of engines to the car assembly plant. 5 engines taken for testing. The probability of each of them to pass the test is 0.95. What is the likelihood that the tests will pass successfully: a) exactly three engines; b) at least three engines; c) all five engines; d) at least one engine?
We randomly select a batch of 40 computer disks for shipment. The probability of selecting a good disk is the same as the probability of selecting a defective disk. In part C, you will determine the probability that this shipment contains 10 defective disks and 30 good disks for our batch or 15 defective disks and 25 good disks for our batch. Note: I am not asking for an example of an outcome, although I may ask for examples of outcomes on the exam. A. What is the size of your sample space S? i.e., How many different outcomes (batches of 40 disks) in your sample space? What are the conditions? What counting technique(s) are you using? B. How many outcomes when randomly selecting 10 defective disks and 30 good disks for our batch or 15 defective disks and 25 good disks for our batch. What are the conditions? What counting technique(s) are you using? C What is the probability of randomly selecting a batch of 10 defective disks and 30 good disks or a batch of 15 defective disks and 25…