Science:Math Exam Resources/Courses/MATH103/April 2005/Question 06 (a)
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Question 06 (a) 

A CT scanner in a hospital is switched on every morning and switched off at night. The scanner has a probability of failure when the technician turns it on in the morning. (Assume that if it turns on, it will not fail later that day i.e. treat this as a discrete event. Also assume that failure is independent of age or history of the machine.) (a) What is the probability that the machine will work on days 1 to and then fail on day k? 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

Science:Math Exam Resources/Courses/MATH103/April 2005/Question 06 (a)/Hint 1 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

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Science:Math Exam Resources/Courses/MATH103/April 2005/Question 06 (a)/Solution 1 