Science:Math Exam Resources/Courses/MATH103/April 2011/Question 05 (a)
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Question 05 (a) 

In a room two different lightbulbs and are installed. According to the packaging, lightbulb fails before time with probability ( in months). Lightbulb has a probability density function for the failure time given by What is the probability density function for the failure time of lightbulb ? 
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 

How is the probability density function related to the cumulative distribution function? 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. The probability density function is the derivative of the cumulative distribution function,
