Answered: Q/The speed of a file transfer from a…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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Q/The speed of a file transfer from a company server to any employee personal
computer is normally distributed with a mean of 60 megabits per second and a
standard deviation of 4 megabits per second.
(a) What is the probability that the file will transfer at a speed of 70 megabits per
second or more?
(b) What is the probability that the file will transfer at a speed of less than 58
megabits per second?
(c) If the file is one gegabyte, what is the average time it will take to transfer the
file? (Assume eight bits per byte.)

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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