A school has a large number of students. A student is randomly chosen from the school. Let \(G\

Question

A school has a large number of students. A student is randomly chosen from the school. Let $G\text{ be the event that the student is a girl, and}$ $S\text{ be the event that the student is shortsighted.}$ It is given $\mathrm{P}(G)=0.62$, $\mathrm{P}(S|G')=0.2$ and $\mathrm{P}(G|S')=0.392$. Describe, in the context of the question, the event $G'\cap S'$.[1] Find the probability that the randomly chosen student is either a girl or is shortsighted or both.[3] Find the probability that the randomly chosen student is a girl with shortsightedness.[3] Determine whether $G$ and $S$ are independent events.[1]

Accepted Answer

(b)0.696 (c)0.424

2024 TJC H1 Q8

2024 TJC H1 Q8