3. A car dealership offers three types of cars: sedans, SUVs, and trucks. The dealership sells 45%sedans, 30% SUVs, and 25% trucks. It is also known that 3% of sedans sold by the dealershiphave mechanical issues, 4% of SUVs sold have mechanical issues, and 5% of trucks sold havemechanical issues. Find:(a) The probability that a randomly selected car has a mechanical issue.(b) Given that a randomly selected car sold by the dealership has a mechanical issue, what isthe probability that it is not a truck?(c) Given that a randomly selected car sold by the dealership does not have a mechanicalissue, what is the probability that it is a sedan or an SUV?

Given that, A car dealership offers three types of cars: sedans, SUVs, and trucks. The dealership…

Answered: 3. A car dealership offers three types…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A bakery sells three types of bread: sourdough, wheat, and rye. The sales data from the past month shows that 40% of the bread sold was sourdough, 30% was wheat, and 30% was rye. On a particular day, the bakery sold 100 loaves of bread. What is the probability that the bakery sold more than 50 loaves of sourdough bread?
There are three modes of transporting material from Boston to Houston: by land (either by highway or railway), seaor air. Half of the materials are transported by land20% by sea, and the rest by air. Also, 60% of all land transportation is by highway and the rest is by rail shipments.Cargo traveling by each mode of transportation has a different probability of being damaged during shipment. The percentages of damaged cargo are as follows: 12% by highway, 3% by rail, 5% by seaand 2% by airIf a damaged cargo is received, what is the probability that it was shipped by sea?
In a certain battery manufacturing plant, three factories, F1, F2, and F3, make 35%, 47%, and 18% respectively, of the products. It is known from experience that 2%, 1.5%, and 2.5% of the products made by each factory, respectively, has some kind of defect. What is the probability that a battery chosen at random is non-defective? 98.514% 98.415% 98.154% 98.145%
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
Your assembly plant buys identical widgets from 3 suppliers, A, B, and C. Suppliers A and B each supplies a quarter of your widgets each day, whereas Supplier C supplies the remaining 50%. Of the widgets supplied by A, B, and C, the average numbers of defective widgets are 5%, 3%, and 7%, respectively.(a) If a widget is selected at random, what is the probability of it being defective? Let A, B, C be the event of a randomly picked widget being sourced by suppliers A, B, and C, respectively. Furthermore, let D be the event of a randomly-picked widget being defective. Use these symbols A, B, C, and D when you do this problem.(b) What is the probability of a randomly-picked widget being supplied by A and also being defective?(c) If a randomly-picked widget is defective, what’s the probability of it having been supplied by A?(d) If a randomly-picked widget is defective, what’s the probability of it having been supplied by B? By C? What's the sum of the 3 probabilities…
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Each month a brokerage house studies various companies and rates each company's stock as being either "low risk" or "moderate to high risk." In a recent report, the brokerage house summarized its findings about 18 aerospace companies and 55 food retailers in the following table: Company Type Aerospace company Food retailer Low Risk 10 25 Probability If we randomly select one of the total of 73 companies W (a) Find the probability that the company's stock is moderate to high risk given that the firm is an aerospace company. (Round your answer to 4 decimal places.) Moderate to High Risk 8 30 0.4444
A Fast Food restaurant gives a discount to anyone who finishes their food in under 5 minutes. 44% of the restaurant' s customers choose to eat a Burger, 28% choose a bowl of Pasta, and the rest choose a Salad dish. In the last month, 18% of Burger-eating customers, 11% of Pasta-eating customers, and 20% of Salad-eating customers achieved the discount. a. What is the probability of a customer choosing to eat Salad and achieving the discount? Answer in exact fraction, or rounded to at least 4 decimal places b. Determine the probability of a randomly chosen customer achieving the discount. Answer in exact fraction, or rounded to at least 4 decimal places
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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…
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