The answer is 78.54.
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Answer:
0.048 is the probability that more than 950 message arrive in one minute.
Step-by-step explanation:
We are given the following information in the question:
The number of messages arriving at a multiplexer is a Poisson random variable with mean 15 messages/second.
Let X be the number of messages arriving at a multiplexer.
Mean = 15
For poison distribution,
Mean = Variance = 15
From central limit theorem, we have:
where n is the sample size.
Here, n = 1 minute = 60 seconds
P(x > 950)
Calculation the value from standard normal z table, we have,
0.048 is the probability that more than 950 message arrive in one minute.
Answer:
Step-by-step explanation:
The sequence above is a geometric sequence.
The common ratio (r) =
The common ratio < 1, therefore, the formula for the sum of nth terms of the sequence would be:
a1 = 3
r = -2
n = 6
Plug in the values into the formula