Explanation Given info: For a transformers supplying heavy industry plants, the light flicker distribution was following a normal distribution with μ = 2.2 % and σ = 0.5 % . If the light flicker exceeds 3%, the transformer is shut down and the system is reset. Calculation: Normal distribution: A random variable x is said to follow a Normal distribution, if the probability distribution is f ( x ) = 1 σ 2 π e − 1 2 ( x − u σ ) 2 Where, μ = Mean of normal variable X σ = Standard deviation of normal variable X . π = 3 .1415 ... . e = 2 .71828 Standard Normal Distribution: A Random variable z is said to a standard normal variable if z follows normal distribution with mean μ = 0 and variance σ 2 = 1 . Consider a random variable X , follows normal distribution with mean μ = 2.2 and standard deviation σ = .5 , such that, X = perception of light flicker . Now, consider another random Z , follow standard normal distribution, such that, Z = X − 2.2

Statistics for Business and Economics (13th Edition)

13th Edition

ISBN: 9780134506593

Author: James T. McClave, P. George Benson, Terry Sincich

Publisher: PEARSON

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 4, Problem 4.195ACI

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Chapter 4, Problem 4.194ACI

Chapter 4, Problem 4.196ACI

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Chapter 4 Solutions

Statistics for Business and Economics (13th Edition)

Ch. 4.1 - Types of random variables. Which of the following...Ch. 4.1 - Types of finance random variables. Security...Ch. 4.1 - NHTSA crash tests. Refer to the National Highway...Ch. 4.1 - Customers in line at a Subway shop. The number of...Ch. 4.1 - Executive pay. Refer to Glassdoor Economic...Ch. 4.1 - Banking. Give an example of a discrete random...Ch. 4.1 - Economics. Give an example of a continuous random...Ch. 4.1 - Hotel management. Give an example of a discrete...Ch. 4.1 - Retailing. Give two examples of discrete random...Ch. 4.1 - Stock market. Give an example of a continuous...

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How likely is it for a transformer supplying a heavy industry plant to be shut down due to light flicker.

Solution Summary: The author explains that the probability of a transformer being shut down due to light flicker is 0.0548.

To find: How likely is it for a transformer supplying a heavy industry plant to be shut down due to light flicker.

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Chapter 4 Solutions