Prob-1 Probability that cars have been assembled in a particular plant as follows: P(plant1) =20%, P(plant2)=24%,P(plant3)=25%, P(plant4)=31%.Total number of cars manufactured by all plants: 1.2 million/year.Number of cars of no warranty claims manufactured by plant1: 223200/year.Compute the warranty claim rate of the cars assembled in plant1?C: warranty Claim rateNC: No warranty claim rate= 1- CP120%Total Cars ManufacturedC =P2NC24%P3P4.%25%31%CNCCCZNC.NC

Answered: Prob-1 Probability that cars have been…

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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A company offers a 2-year warranty on a product for $35. Replacing the product to the consumer who purchases the warranty costs the company $200. The quality control division estimates that 0.25% of their products will fail within the fırst 2 years. What is the company's expected value for each warranty sold?
Suppose that you flipped a fair coin 40,000 times and you wished to estimate the probability that you would obtain 22,000 or more heads using the Normal approximation. That probability would turn out to be approximately: (a) 0.9545 (b) 0.3772 (c) 0.0000 (d) 0.0455 (e) 0.0356
Flying over the western states with mountainous terrain in a small aircraft is 40% riskier than flying over similar distances in flatter portions of the nation, according to a General Accounting Office study completed in response to a congressional request. The accident rate for small aircraft in the 11 mountainous western states is 3.5 accidents per 100,000 flight operations. (c) Find the probability of at least 2 accidents in 180,000 flight operations. (Use 4 decimal places.)
Find the probability that the total number of breakdowns that occur in a particular 4-week period is exactly 10, giving the answer to 4 decimal places.
In the winter, guests who visit Yosemite National Park like to stay at an overnight lodge in the park 71 % of the time. Find the probability that among 11 guests surveyed exactly 3 guests like to stay at an overnight lodge in the park. P(x = 3) =
The useful life of Johnson rods for use in a particular vehicle follows an exponential distribution with an average useful life of 5.2 years.You have a three-year warranty on your vehicle’s Johnson rod. What is the probability that the Johnson rod doesn’t fail before then? That is, what is the probability that its useful life doesn’t end before three years?b.If the vehicle manufacturer wants to limit the number of claims on the three-year warranty to 20%, what should the average useful life of the Johnson rod be?
Despite all efforts by the quality control department, the fabric made at benton corporation always contains a few defects. A certain type of fabric made at this corporation contains an average of 0.51 defects per 500 yards. Using the Poisson formula, find the probability that the number of defects in a given 500-yard piece of this fabric will be between two and four.P(between 2 and 4) =
For 10 percent of the products in a category, a firm fails to satisfy all demand during themonth. What is its in-stock probability?
In a video game, a specific attack succeeds at a rate of 20% and every try is independent. Determine the probability that the first attack lands on the 3rd try.
A large bank vault has several automatic burglar alarms. The probability is 0.55 that a single alarm will detect a burglar. (a) How many such alarms should be used to be 99% certain that a burglar trying to enter is detected by at least 8 alarm?
Consider a Poisson distribution with an average of 4 customers per minute at the local grocery store. If X = the number of arrivals per minute:Find the probability of 8 customers or less arriving within a minute. Find the probability of more than 7 customers arriving within a minute. Find the probability of 3 customers arriving within a minute.
Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 250 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What does the area of the sampling distribution corresponding to your P-value look like? a. The area in the right tail of the standard normal curve. b. The area not including the right tail of the standard normal curve.…

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