The lifetime of a semiconductor laser has a lognormal distribution, and it is known that the mean and standard deviation of lifetime ar 10000 and 20000, respectively. (a) Calculate the parameters of the lognormal distribution. (Round the answers to 4 decimal places.) 0= 8.4058 ()= 1.2686 (b) Determine the probability that a lifetime exceeds 11000 hours. (Round the answer to 3 decimal places.) 0.480 (c) Determine the lifetime that is exceeded by 90% of lasers. (Round the answer to 1 decimal place.) 2490.0 hours

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The lifetime of a semiconductor laser has a lognormal distribution, and it is known that the mean and standard deviation of lifetime are
10000 and 20000, respectively.
(a) Calculate the parameters of the lognormal distribution. (Round the answers to 4 decimal places.)
0 =
8.4058
@= 1.2686
(b) Determine the probability that a lifetime exceeds 11000 hours. (Round the answer to 3 decimal places.)
0.480
(c) Determine the lifetime that is exceeded by 90% of lasers. (Round the answer to 1 decimal place.)
2490.0
hours
Statistical Tables and Charts
Transcribed Image Text:The lifetime of a semiconductor laser has a lognormal distribution, and it is known that the mean and standard deviation of lifetime are 10000 and 20000, respectively. (a) Calculate the parameters of the lognormal distribution. (Round the answers to 4 decimal places.) 0 = 8.4058 @= 1.2686 (b) Determine the probability that a lifetime exceeds 11000 hours. (Round the answer to 3 decimal places.) 0.480 (c) Determine the lifetime that is exceeded by 90% of lasers. (Round the answer to 1 decimal place.) 2490.0 hours Statistical Tables and Charts
In a data communication system, several messages that arrive at a node are bundled into a packet before they are transmitted over the
network. Assume the messages arrive at the node according to a Poisson process with λ = 34 messages per minute. Five messages
are used to form a packet. Round your answers to three decimal places (e.g. 98.765).
a) What is the mean time until a packet is formed, that is, until five messages arrived at the node? 8.824
seconds
b) What is the standard deviation of the time until a packet is formed? 3.946
seconds
c) What is the probability that a packet is formed in less than 10 seconds? i 0.332
d) What is the probability that a packet is formed in less than 5 seconds? 0.1575
Transcribed Image Text:In a data communication system, several messages that arrive at a node are bundled into a packet before they are transmitted over the network. Assume the messages arrive at the node according to a Poisson process with λ = 34 messages per minute. Five messages are used to form a packet. Round your answers to three decimal places (e.g. 98.765). a) What is the mean time until a packet is formed, that is, until five messages arrived at the node? 8.824 seconds b) What is the standard deviation of the time until a packet is formed? 3.946 seconds c) What is the probability that a packet is formed in less than 10 seconds? i 0.332 d) What is the probability that a packet is formed in less than 5 seconds? 0.1575
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