Question

The production of a complex chemical needed for anticancer drugs is exponentially distributed with lambda =...

The production of a complex chemical needed for anticancer drugs is exponentially distributed with lambda = 6 kilograms per hour. What is the probability that the production process requires more than 15 minutes to produce the next kilogram of drugs?

Would it be (1/6)e^-(.25/6)?

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Answer #1

Solution:

Given in the question

Lambda = 6

We need to calculate

P(X>(15/60)) we will use exponantial probability

P(X>(15/60)) = e(-lambda*X) = e(-6*0.25) = e^-1.5 = 0.2231

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