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 1600 hours and variance 104. What is the approximateprobability that a batch of 100 car batteries will contain at least 19 whose lifetimes are less than 1510 hours?

Probability of Short-Life Batteries in a BatchWe want to find the chance of having at least 19 car…

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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Suppose a batch of metal shafts produced in a manufacturing company have a variance of 7.847.84 and a mean diameter of 201201 inches. If 8989 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.20.2 inches? Round your answer to four decimal places.
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
Suppose babies born in a large hospital have a mean weight of 3685grams, and a variance of 330,625. If 113 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would be greater than 3631 grams? Round your answer to four decimal places.
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?
Assume that heights of U.S. men between 45 and 50 years of age are normally distributed with mean 70 inches and a standard deviation of 0.75 inches. Suppose a random sample of 49 men is selected. Find the probability that the average height of these 49 men is less than 69.8 inches.
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.
4. Researchers working for a sports drink company would like to know if a new blend if its popular sports drink can help improve marathon runners' final running time. Marathon times, Y, are known to follow a Normal distribution. Suppose that runners using the old blend sports drink have a mean finishing time of 300 minutes (H = 300 minutes). A random sample of 20 runners was selected to use the new blend of sports drink in a marathon, finishing with an average time of 270 minutes and a standard deviation of 20 minutes (y = 270 min, s = 20 min). Can it be claimed that the new blend lowers finishing times? Or is it possible that random chance alone can explain the discrepancy? Carry out a hypothesis test of the true mean u using the 4- step procedure. Set your alpha-level to 0.05. a. Which is the correct null hypothesis? O i. Ho: µ = 300 min O ii: Ho: µ = 270 min %3D O ii. Ho: µ < 300 min iv: Ho: µ < 270 min
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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