Question: I have a 3-part homework problem that I don't quite know how to tackle. It says that: 65160 persons are given two doses of a

I have a 3-part homework problem that I don't quite know how to tackle. It says that:

65160 persons are given two doses of a vaccine candidate and 65184 persons two doses of placebo. The total number of infected cases were 24 among participants who received the vaccine and 486 for those that got the placebo. What is the probability that the vaccine has no effect on being infected?

Based on the total number of cases above, calculate a 68% confidence interval of the vaccine efficacy, x = (Nplacebo Nvaccine)/Nplacebo

There were 30 severe cases, out of which 27 were in the placebo group. With only this data, what would then be the probability that the vaccine had no effect?

If you could show step-by-step to help my understanding that would be great! Thank you.

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