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introduction to probability and statistics milton I\'m just going to type out th

ID: 3023037 • Letter: I

Question

introduction to probability and statistics milton

I'm just going to type out the whole question

It has been found that 80% of all accidents found at foundries involve human error and 40% inolve equipment malfunctions. 35% involve both problems. An accident at a foundry is investigated. What is the probability that human error alone was involved?

I think it had something to do with the general addition rule because that's what was talked about in the section this question is from. I may just be overthinking though, but I'm stumped nonetheless

Explanation / Answer

Let

H = human error
E = equipment malfunctions

Hence,

P(H alone) = P(H) - P(H n E) = 0.80 - 0.35 = 0.45 [ANSWER]