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Q1/ Each sample of water have a 10% chance of containing a particular organic pollutant. Assume that the samples are independent with regard to the presence of the pollutant. Find the probability that in the next 18 samples, (a) exactly 2 contain the pollutant; (b) at least four samples contain the pollutant; (c) 3 9) (d) P(3 < X < 5) %3D Ans. (0.2461, 0.0547,0.0107, 0.3223) Q3/ Let X denote the number of bits received in error in a digital communication channel, and assume that X is a binomial random variable with P = 0.001. If 1000 bits are transmitted, determine the following: (a) P(X = 1) (b) P(X > 1) (c) P(X < 2) (d) mean and variance of X %3D Ans. (0.3681, 0.6319, 0.9198, 1,0.999)

Q1/ Each sample of water have a 10% chance of containing a particular organic pollutant. Assume that the samples are independent with regard to the presence of the pollutant. Find the probability that in the next 18 samples, (a) exactly 2 contain the pollutant; (b) at least four samples contain the pollutant; (c) 3 9) (d) P(3 < X < 5) %3D Ans. (0.2461, 0.0547,0.0107, 0.3223) Q3/ Let X denote the number of bits received in error in a digital communication channel, and assume that X is a binomial random variable with P = 0.001. If 1000 bits are transmitted, determine the following: (a) P(X = 1) (b) P(X > 1) (c) P(X < 2) (d) mean and variance of X %3D Ans. (0.3681, 0.6319, 0.9198, 1,0.999)

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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58 Engineering Statistics Engineering Statistics (Sheet No. 3) Q1/ Each sample of water have a 10% chance of containing a particular organic pollutant. Assume that the samples are independent with regard to the presence of the pollutant. Find the probability that in the next 18 samples, (a) exactly 2 contain the pollutant; (b) at least four samples contain the pollutant; (c) 3 <X< 7. Ans. (0.284, 0.098, 0.265) Q2/ The random variable X has a binomial distribution with n = 10 and P = 0.5. Determine the following probabilities: (a) P(X = 5) (b) P(X < 2) (c) P(X > 9) (d) P(3 < X < 5) Ans. (0.2461, 0.0547, 0.0107, 0.3223) Q3/ Let X denote the number of bits received in error in a digital communication channel, and assume that X is a binomial random variable with P = 0.001. If 1000 bits are transmitted, determine the following: (a) P(X = 1) (b) P(X > 1) (c) P(X < 2) (d) mean and variance of X Ans. (0.3681, 0.6319, 0.9198, 1,0.999) Q4/ The number of messages sent to a computer bulletin board is a Poisson random variable with a mean of 5 messages per hour. (a) What is the probability that 5 messages are received in 1 hour? (b) What is the probability that 10 messages are received in 1.5 hour?
Transcribed Image Text:58 Engineering Statistics Engineering Statistics (Sheet No. 3) Q1/ Each sample of water have a 10% chance of containing a particular organic pollutant. Assume that the samples are independent with regard to the presence of the pollutant. Find the probability that in the next 18 samples, (a) exactly 2 contain the pollutant; (b) at least four samples contain the pollutant; (c) 3 <X< 7. Ans. (0.284, 0.098, 0.265) Q2/ The random variable X has a binomial distribution with n = 10 and P = 0.5. Determine the following probabilities: (a) P(X = 5) (b) P(X < 2) (c) P(X > 9) (d) P(3 < X < 5) Ans. (0.2461, 0.0547, 0.0107, 0.3223) Q3/ Let X denote the number of bits received in error in a digital communication channel, and assume that X is a binomial random variable with P = 0.001. If 1000 bits are transmitted, determine the following: (a) P(X = 1) (b) P(X > 1) (c) P(X < 2) (d) mean and variance of X Ans. (0.3681, 0.6319, 0.9198, 1,0.999) Q4/ The number of messages sent to a computer bulletin board is a Poisson random variable with a mean of 5 messages per hour. (a) What is the probability that 5 messages are received in 1 hour? (b) What is the probability that 10 messages are received in 1.5 hour?
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