(c) What is the probability that less than two messages are received in one-half hour? Ans. (0.1755, 0.0858, 0.2873) 5/ The number of flaws in bolts of cloth in textile manufacturing is assumed to be pisson distributed with a mean of 0.1 flaw per square meter. (a) What is the probability that there are two flaws in 1 square meter of cloth? (b) What is the probability that there is one flaw in 10 square meters of cloth? (c) What is the probability that there are no flaws in 20 square meters of cloth? (d) What is the probability that there are at least two flaws in 10 square meters

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
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
(c) What is the probability that less than two messages are received in one-half
hour?
Ans. (0.1755, 0.0858, 0.2873)
Q5/ The number of flaws in bolts of cloth in textile manufacturing is assumed to be
Poisson distributed with a mean of 0.1 flaw per square meter.
(a) What is the probability that there are two flaws in 1 square meter of cloth?
(b) What is the probability that there is one flaw in 10 square meters of cloth?
(c) What is the probability that there are no flaws in 20 square meters of cloth?
(d) What is the probability that there are at least two flaws in 10 square meters
of cloth?
Ans. (0.0045, 0.3679, 0.1353,0.2642)
Q6/ The number of failures for a cryogenics machine from contamination in
biological samples is a Poisson random variable with a mean of 0.01 per 100
samples.
(a) If the lab usually processes 500 samples per day, what is the expected
number of failures per day?
(b) What is the probability that the machine will not fail during a study that
includes 500 participants? (assume one sample per participant.)
Ans. (0.05, 0.9512)
Transcribed Image Text:59 Engineering Statistics (c) What is the probability that less than two messages are received in one-half hour? Ans. (0.1755, 0.0858, 0.2873) Q5/ The number of flaws in bolts of cloth in textile manufacturing is assumed to be Poisson distributed with a mean of 0.1 flaw per square meter. (a) What is the probability that there are two flaws in 1 square meter of cloth? (b) What is the probability that there is one flaw in 10 square meters of cloth? (c) What is the probability that there are no flaws in 20 square meters of cloth? (d) What is the probability that there are at least two flaws in 10 square meters of cloth? Ans. (0.0045, 0.3679, 0.1353,0.2642) Q6/ The number of failures for a cryogenics machine from contamination in biological samples is a Poisson random variable with a mean of 0.01 per 100 samples. (a) If the lab usually processes 500 samples per day, what is the expected number of failures per day? (b) What is the probability that the machine will not fail during a study that includes 500 participants? (assume one sample per participant.) Ans. (0.05, 0.9512)
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