Q:

Laboratory data show that the time required to complete two chemical reactions in a production process varies. the first reaction has a mean time of 40 minutes and a standard deviation of 2 minutes; the second has a mean time of 25 minutes and a standard deviation of 1 minute. the two reactions are run in sequence during production. there is a period of 5 minutes between the two reactions as the product of the first reaction is pumped into the vessel where the second reaction will take place.a. what is the mean time required for the entire process?b. what is the standard deviation of the combined process?

Accepted Solution

A:
For the answer to the question above,
For a) Mean time required for the entire process = (40+25) = 65 minutes
b) Variance time required for the entire process = (2^2+1^2) = 5 minutes
Standard deviation time required for the entire process = sqrt(5) = 2.236 minute.
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