6. An automobile manufacturer is concerned about a fault in the braking mechanism of a particular model.The fault on rare occasions causes a catastrophe at high speed. Assume that the distribution of the numberof cars per year will experience the fault is 8 on the average, find the probability that (a) at most 3 cars peryear will experience a catastrophe, (b) more than 1 car per year will experience a catastrophe.

Answered: Image /qna-images/answer/9a72edc8-8f79-4e00-8366-8187bf3091e0.jpg

Answered: 6. An automobile manufacturer is…

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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Similar questions

The manager of a gas station has observed that the times required by drivers to fill their car's tank and pay are quite variable. In fact, the times are exponentially distributed with a mean of 6.5 minutes. What is the probability that a car can complete the transaction in less than 6 minutes?
Please show work... and round probabilities to FOUR DECIMALS The following table summarizes results from 985 pedestrian deaths that were caused by accidents. Pedestrian Pedestrian was NOT Intoxicated intoxicated Driver was intoxicated 59 79 Driver was NOT 266 581 intoxicated If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was intoxicated or the driver was intoxicated. If two DIFFERENT pedestrian deaths are randomly selected, find the probability that they both involve intoxicated pedestrians. If we randomly select a pedestrian death, what is the probability that the pedestrian was intoxicated, given that the driver was intoxicated? If we randomly select a pedestrian death, what is the probability that the driver was intoxicated?
What is the probability that the total of two randomly chosen numbers exceeds 3, where the first number is chosen from a uniform distribution between 0 and 2, and the second number is selected from an exponential distribution with a mean of 1?
8
Suppose the you have to take a bus to work. The amount of time until the next bus arrives follows an Exponential distribution with mean 7 minutes. (a) What is the probability that the next bus will arrive within 5 minutes? (b) 90% of all buses arrive within how many minutes of the previous bus? (c) Suppose the bus still has not arrived within 9 minutes of the last bus. Knowing that, what is the probability that the next bus will take at least 15 minutes to arrive? (d) Suppose that the amount of time the next bus arrives is independent of each next bus with the same distribution (Exponential with mean 7). What is the probability that the next bus arrives in less time than the next next bus (i.e. a second bus)?
A bag contains 2 red balls worth £3, 2 blue balls worth £2 and 5 green balls worth £0. You pick 1 ball out of the bag (without replacement). What the expected value of earnings from playing this game once (3 decimal places).
A health and safety consultant working in a large department store finds that the wait time for a lift on the second floor of the building can be modelled with a continuous uniform distribution ranging from 1 to 5 minutes. The lift takes 30 seconds to move from one floor to the next. Calculate the probability that a person can reach the ground floor in less than 2.25 minutes after pushing the button to request the lift on the second floor.
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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