Data is being processed from 35 data sources. Each dataset may or may or net generate dataset at the beginning of each timeslot, the probability that

EunoR

EunoR

Answered question

2021-01-28

Data is being processed from 35 data sources. Each dataset may or may or net generate dataset at the beginning of each timeslot, the probability that any individual source actually generates a dataset is 0.004,and the data sources are independent. In each time slot we can process up to two datasets. Now, the processing is real time with the processed results only being considered if they are done within the time slot. Determine the probability that all incoming datasets can be processed in any particular time slot?

Answer & Explanation

Daphne Broadhurst

Daphne Broadhurst

Skilled2021-01-29Added 109 answers

Lex X be the number of generated dataset. Then X is a binomial random variable with parameters n=35 and p=0.004. Therefore,
P(X=x)=(35x)0.004x0.99635x
We need to find P(X2) (we can process up to two datasets). Now we compute:
P(X2)=P(X=0)+P(X=1)+P(X=2)=(350)0.0040(0.996350)+(351)0.0041(0.996351)+(352)0.00420.996352 0.9996194

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