A current college graduate is planning to take the first 3 actuarial examicountries in the coming summer. She will take the initially actuarial exam in June. If she passes that exam, then she will take the second exam in July, and if she also passes that one, then she will certainly take the 3rd exam in September. If she falls short an exam, then she is not allowed to take any type of others. The probability that she passes the first exam is .9. If she passes the first exam, then the conditional probcapability that she passes the second one is .8, and if she passes both the initially and the second exams, then the conditional probcapacity that she passes the 3rd exam is .7.

(a) What is the probcapability that she passes all three exams?

(b) Given that she did not pass all 3 exams, what is the conditional probcapability that she failed the second exam?




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Dec 09 2020 03:54 PM

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Shikha answered on December 11, 2020

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