The lifetimes of computers is modeled in terms of a Rayleigh density. Three manu

Question

The lifetimes of computers is modeled in terms of a Rayleigh density. Three manufacturers A, B, C are available. Their computers have average lifetimes of 5, 6 and 7 years respectively. A company orders 20 computers from A, 30 from B and 50 from C. What is the probability that a computer randomly examined is operating beyond 6 years?

When detailing this answer, can you please label the relevant formulas and definitions used? E.g., by "definition of independent events / disjoint events / etc"

Also, please include in the beginning a way to break down the problem just by looking at the question, instead of just jumping into the answer.

Thank you.

Explanation / Answer

Here, we can see that there are three manufacturers A, B and C and the company has ordered 20 computers from A, 30 from B and 50 from C. Here, we need to check the probability if the computer examined is operating beyond 6 years. Hence, those can only be computers from C.

P(C|Total)=50/100=0.5

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