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)
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Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F964ea3b2-e933-41bc-b15a-3902219084c6%2Fd69dae75-6cdb-4ac8-be28-0ca72317f264%2Fknvpai9_processed.jpeg&w=3840&q=75)
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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