Suppose that the distribution of the lifetime of a car battery produced by a certain car company is wellapproximated by a normal distribution with a mean of 1300 hours and variance 104. What is the approximateprobability that a batch of 100 car batteries will contain at least 20 whose lifetimes are less than 1205 hours?

The mean of the normal distribution is hours. The variance of normal distribution is The standard…

Answered: Suppose that the distribution of the…

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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The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was observed over a long period of time to be approximately normally distributed, with mean =$633 and standard deviation =$42 If $646 is budgeted for next week what is the probability that the actual costs will exceed amount? How much should be budgeted for weekly repairs , cleaning and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.09
Let's say that a country's fiscal balance to debt ratio is normally distributed with a mean of -6.5% and a variance of 23.2. What would be the probability that a country’s fiscal balance will be lower than the recommended fiscal deficit of 3% of GDP?
in one region the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050Kwh and a standard deviation of 218kwh. Find the probability that the total energy consumption level for all 50 homes for September is greater than 53,750
The quality control manager at a company manufacturing company believes that the mean life of a computer is 81 months with a variance of 64. If he is incorrect what is the probability that the mean of a sample of 58 computers would differ from the population mean by less than 2.79 months round your answer to 4 decimal places
The shelf life of a perishable product is a random variable that is related to customer acceptance and, ultimately, to sales and profit. Suppose the shelf life of a particular soft drink is best approximated by a normal distribution with a mean of 180 days and standard deviation 20 days. What fraction of the product will still be fresh after 5 months on the shelf?
The burning life (in hours) of electric lamps installed in a street of a city follows a normal distribution with an average of 120 burning hours and variance of 54000 square minutes. Find the probability of the electric lamps that are likely to burn for more than 110 hours more than 5124 minutes and less than 7450 minutes
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Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. If we select a random house what is the probability that it will be at most 1050 square feet?
For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 515 and a standard deviation of 170. The grading process of this year's exam has just begun. The mean score of the 35 exams graded so far is 518. What is the probability that a sample of 35 exams will have a mean score of 518 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
TREKLAIR bulbs have an average lifespan of800 hours with a variance of 1,600 hours2 .This duration oflife has a normal distribution. Find the probability that abulb lasts between 778 and 834 hours.
In a company, the known mean time before the first occupational accident is normally distributed with a mean of 12 years and a variance of 6.76 years². What is the probability that an individual happens to have an accident between 11.3 and 13.6 years of permanence in the company?
Suppose that the fraction of defective modems shipped by a data-communications vendor has an approximation beta distribution with a=5 and b=21. find the mean and variance of the fraction of defective modems per shipment What is the probability that a randomly selected shipment will contain at least 30 % defectives? What is the probability that a randomly selected shipment will contain no more than 5 % defectives?

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