The speed of a file transfer from a server on campus to a personal computer at a student's home on a weekday evening is normally distributed with a mean of 63 kilobits per second and a standard deviation of four kilobits per second. (a) What is the probability that the file will transfer at a speed of 73 kilobits per second or more? Round your answer to three decimal places (e.g. 98.765). P = i (b) What is the probability that the file will transfer at a speed of less than 56 kilobits per second? Round your answer to two decimal places (e.g. 98.76). P = i (c) If the file is one megabyte, what is the average time (in seconds) it will take to transfer the file? (Assume eight bits per byte) Round your answer to two decimal places (e.g. 98.76). t= S
The speed of a file transfer from a server on campus to a personal computer at a student's home on a weekday evening is normally distributed with a mean of 63 kilobits per second and a standard deviation of four kilobits per second. (a) What is the probability that the file will transfer at a speed of 73 kilobits per second or more? Round your answer to three decimal places (e.g. 98.765). P = i (b) What is the probability that the file will transfer at a speed of less than 56 kilobits per second? Round your answer to two decimal places (e.g. 98.76). P = i (c) If the file is one megabyte, what is the average time (in seconds) it will take to transfer the file? (Assume eight bits per byte) Round your answer to two decimal places (e.g. 98.76). t= S
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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![### Understanding File Transfer Speed and Probability
The speed of a file transfer from a server on campus to a personal computer at a student's home on a weekday evening is normally distributed with a mean of 63 kilobits per second and a standard deviation of four kilobits per second.
#### Exercise:
(a) **Probability of High-Speed Transfer**
What is the probability that the file will transfer at a speed of 73 kilobits per second or more? Round your answer to three decimal places (e.g., 98.765).
\[ P = \]
\[ \boxed{} \]
(b) **Probability of Low-Speed Transfer**
What is the probability that the file will transfer at a speed of less than 56 kilobits per second? Round your answer to two decimal places (e.g., 98.76).
\[ P = \]
\[ \boxed{} \]
(c) **Average Transfer Time for a One Megabyte File**
If the file is one megabyte, what is the average time (in seconds) it will take to transfer the file? (Assume eight bits per byte)
Round your answer to two decimal places (e.g., 98.76).
\[ t = \]
\[ \boxed{} \text{ s} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcede8746-e52f-4eaf-bfc2-0cf286297e7e%2Fc342c38d-c168-46de-8d60-6c36e2b0f837%2Fxpfw6p9_processed.png&w=3840&q=75)
Transcribed Image Text:### Understanding File Transfer Speed and Probability
The speed of a file transfer from a server on campus to a personal computer at a student's home on a weekday evening is normally distributed with a mean of 63 kilobits per second and a standard deviation of four kilobits per second.
#### Exercise:
(a) **Probability of High-Speed Transfer**
What is the probability that the file will transfer at a speed of 73 kilobits per second or more? Round your answer to three decimal places (e.g., 98.765).
\[ P = \]
\[ \boxed{} \]
(b) **Probability of Low-Speed Transfer**
What is the probability that the file will transfer at a speed of less than 56 kilobits per second? Round your answer to two decimal places (e.g., 98.76).
\[ P = \]
\[ \boxed{} \]
(c) **Average Transfer Time for a One Megabyte File**
If the file is one megabyte, what is the average time (in seconds) it will take to transfer the file? (Assume eight bits per byte)
Round your answer to two decimal places (e.g., 98.76).
\[ t = \]
\[ \boxed{} \text{ s} \]
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