(main)[3]
Determine the value of $x$.
Mathematics 9709 · AS & A Level · The Poisson distribution
The Poisson distribution — practice question
On the days when Shona travels to college, the probability that she takes the bus is $0.8$, while the probability that she cycles is $0.2$. If she travels by bus, the chance that she arrives late is $0.4$. If she cycles, the chance that she is late is $x$. On a randomly selected day, the probability that Shona is not late for college is $0.63$.
Worked solution & mark scheme
This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Set up an equation in the form $0.8 \times 0.6 + 0.2(1-x) = 0.63$ or an equivalent one.” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI