The mean time to retrieve a record from an online database is 222 milliseconds with a standard deviation of 62 milliseconds. The design criterion requires that at least 80% of all retrieval times must not differ from the mean by more than 83 milliseconds.Use Chebyshev's inequality to establish whether the design criterion is satisfied.Would the design criterion be satisfied if it were known that the retrieval time is normally distributed with a mean of 222 milliseconds and a standard deviation of 62 milliseconds?

Chebyshev's inequality is a probability inequality that states that for any random variable X, the…

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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 mean time to retrieve a record from an online database is 222 milliseconds with a standard deviation of 62 milliseconds. The design criterion requires that at least 80% of all retrieval times must not differ from the mean by more than 83 milliseconds.

Use Chebyshev's inequality to establish whether the design criterion is satisfied.
Would the design criterion be satisfied if it were known that the retrieval time is normally distributed with a mean of 222 milliseconds and a standard deviation of 62 milliseconds?

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.

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