Skip to content
Part CCSIR NET June 2024max-plus-min-is-the-sum

Max plus min is the sum

Let denote lifetimes (in years) of 2 components of an electronic system. Let {} and {}. Assume that and are independent, each following exponential distribution with probability density function f(x) = (1/2)e^(−x/2) if x > 0, and 0 otherwise. Which of the following statements are true?

  1. A.
  2. B.
  3. C.
  4. D.

You have the answer. Trap Analysis is why the other three were written.

Not a worked solution repeated four times — the specific reasoning error each wrong option was built to reward.

See pricing

50 are analysed free — try those first.

Related counterexample: If X and Y are each normal and uncorrelated then they are independent

More on this topic

The chapter behind this: Joint distributions, transformations and order statistics — free to read

From ProbabilityJoint distributions, transformations, order statistics

ShareWhatsAppTelegram