9. Find the probability that the process is recalibrated fewer than two times du

Question

9. Find the probability that the process is recalibrated fewer than two times during a week.

10. Find the probability that the process is recalibrated more than three times during a week.  

11.Find the probability that the process is recalibrated exactly once during a week.

12.Find the probability that the process is not recalibrated at all during a week.

20. Find the probability that a bottle of this medicine will have a shelf life of at least 400 days.  

22. Find the probability that a bottle of this medicine will have a shelf life somewhere from 70 to 130 days.  

Use the Following Text for Questions 90-12 The output of a chemical process is continually monitored to ensure that the concentration remains within acceptable limits. Whenever the concentration drifts outside the limits, the process is shut down and recalibrated. Let X be the number of times in a given week that the process is recalibrated. The following table presents values of the probability mass function (pmf f(x). 0 0171 1 0.36 2 031 3 0.13 4 0.03

Explanation / Answer

9)P(process is recaliberated fewer than 2 times a week) = P(0) + P(1) = 0.17+0.36 = 0.53

10) P(process is recaliberated more than 3 times a week) = P(4) = 0.03

11) P(process is recaliberarted exacctly once during the week) = P(1) = 0.36

12) P(process is not recaliberated at all during a week) = P(0) = 0.17

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