Number of messages received by a computer
The number of messages received through the computer bulletin board follows Poisson distribution with an average of 9 messages per hour.
a. What is the probability that at most 1 message is received during a 20-minute period?
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Write the sample space. Describe a random variable. Determine the probability function f(x)? Determine the cumulative probability function?
Graph f and verify that f is the one-to-one function. Determine f^-1 and add graph of f^-1 and line y=x to graph of f. Define the domain and range of f and domain and range of f^-1.
Determine the probability distribution of X? How many green lights does she pass on average before having to stop at the red light? Determine the probability that she will get through 20 lights before having to stop for the first time?
Determine the probability mass function of train arrivals in a period of length t minutes? Determine the probability that two trains will arrive in a three minute period?
The strength of the aluminum alloy is basically distributed with the mean 10 GPa (gigapascals) and standard deviation 1.4 GPa. Find out the probability that the specimen of this alloy will have strength greater than 12 GPa.
To find distance between them, surveyor locates point C on land such that angle CAB = 48.2°. He also measures CA as 310 ft and CB as 527 ft. Determine distance between A and B.
Give a 95% confidence interval for population mean. Lower limit:
Determine the 95% confidence interval estimate of mean undergraduate grade point average for students admitted to top graduate business schools?
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