It has been determined that 5% of cars checked at PepBoys have faulty brakes and 10% of cars checked have suspension problems. In addition, it has been observed that the two are independent from one another. If a mechanic checks five cars at random: Calculate the probability that exactly three of the cars have any one of the two problems:

It has been determined that 5% of cars checked at PepBoys have faulty brakes and 10% of cars checked have suspension problems. In addition, it has been observed that the two are independent from one another. If a mechanic checks five cars at random: Calculate the probability that exactly three of the cars have any one of the two problems:

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

Among a large group of patients recover-ing from shoulder injuries, it is found that 22% visit both a physical therapist and a chiropractor, whereas 12% visit neither of these. The probability that a patient visits a chiropractor exceeds by 0.14 the probability that a patient visits a physicaltherapist. Determine the probability that a randomly chosenmember of this group visits a physical therapist. Choose one ofthe following. (Hint: Use the union rule for probability, and letx = P(patient visits a physical therapist).) Source: Society ofActuaries.a. 0.26 b. 0.38 c. 0.40d. 0.48 e. 0.62
Two competing airlines, Alpha and Beta, fly a route between Des Moines, lowa, and Wichita, Kansas. Each airline claims to have a lower percentage of flights that arrive late. Let p, be the proportion of Alpha's flights that arrive late and p2 the proportion of Beta's flights that arrive late. Suppose that p, = 0.32 and p2 = 0.25. Find the probability that a sample of 100 flights for each airline (200 in all) would yield P, 2 Pz- Round your answer to four decimal places. P (Pi 2 P2) = i
What is the expected value for the number of defective LCDs3 10 2) 0.1 3) 0.45 4) 0.5 5) 0.9 06) 1
Each of two parents has the genotype brown / red, which consists of the pair of alleles that determine hair color, and each parent contributes one of those alleles to a child. Assume that if the child has at least one brown allele, that color will dominate and the child's hair color will be brown. a. List the different possible outcomes. Assume that these outcomes are equally likely. b. What is the probability that a child of these parents will have the red / red genotype? c. What is the probability that the child will have brown hair color? a. List the possible outcomes. O A. brown / brown, brown / red, and red/ red O B. brown / brown, brown / red, red/brown, and red/ red O C. brown / brown and red/red O D. brown /red and red / brown b. The probability that a child of these parents will have the red/red genotype is (Round to two decimal places as needed.) c. The probability that the child will have brown hair color is (Round to two decimal places as needed.)
A life insurance company has found a 3% probability that a randomly selected application contains an error. Assume applications are mutually independent. An auditor randomly selects 100 applications. What is the probability that 95%, or less, of the selected applications, are error free?
A local country club has a membership of 600 and operates facilities that include an 18-hole championship golf course and 12 tennis courts. Before deciding whether to accept new members, the club president would like to know how many members regularly use each facility. A survey of the membership indicates that 69% regularly use the golf course, 45% regularly use the tennis courts, and 10% use neither of these facilities regularly. Given that a randomly selected member uses the tennis courts regularly, find the probability that they also use the golf course regularly.
suppose we select an SRS of 1010 adults. If it is believed that 60% of all adults are very satisfied with their lives, what is the probability that at least 610 adults in our sample are very satisfied with their lives?Let X be the number (out of 1010) of adults who are very satisfied with their lives. What distribution should X have? Why?
A study by a reputable research organization found that when presented with prints from the same individual, a fingerprint expert will correctly identify the match 91% of the time. In contrast, a novice will correctly identify the match 77% of the time. Consider a sample of seven different pairs of fingerprints, where each pair is a match. Complete parts a and b below. a. What is the probability that an expert will correctly identify the match in all seven pairs of fingerprints? The probability is enter your response here. (Round to four decimal places as needed.) b. What is the probability that a novice will correctly identify the match in all seven pairs of fingerprints? The probability is enter your response here. (Round to four decimal places as needed.)
Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 94 people in the 18-21 age bracket and finds that 80 of them respond and 14 refuse to respond. When 265 people in the 22-29 age bracket are contacted, 241 respond and 24 refuse to respond. Assume that 1 of the 359 people is randomly splected. Find the probability of getting someone in the 22-29 age bracket or someone who refused to respornd. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol. P(22-29 or refused) % %3D (Hint: It might be helpful to organize the data into a table first.) Question Help: Written Example Message instructor Submit Question Jump to Answer
A survey showed that 80% of adults need correction (eyeglasses, contacts, surgery, etc) for their eyesight. If 19 adults are randomly selected find the probability that no more than 1 of them need correction for their eyesight. Is 1 significantly low number of adults requiring eyesight correction. a. The probability that no more than 1 of the 19 adults require eyesight correction is b. Is 1 significantly low number of adults requiring eyesight correction: Note that a small probability is one that is less than 0.05.
Previous surveys indicate 33% of households in Barrie regularly recycle household waste through a blue box program. In a random sample of ten households, what is the probability of finding exactly five who regularly use a blue box?
Suppose that 30 percent of an adult population have an infectious disease and 40 percent have achronic disease. Assume that having an infectious disease is independent from having a chronicdisease. For each of the questions below perform the calculation using appropriate statisticalnotation.a. What is the probability that a person selected at random will have both diseases?b. What is the probability of having the infectious disease for people with the chronic disease?c. What is the probability of having the infectious disease for people without the chronic disease?d. What is the probability of not having the infectious disease for people with the chronicdisease?