(a(i))[3]
The samples each include at least $2$ carp from pond $A$ and at least $2$ carp from pond $B$.
(a(ii))[3]
The combined sample contains at least $4$ carp in total.
(b)[4]
Determine the value of $k$.
Mathematics 9709 · AS & A Level · The Poisson distribution
The Poisson distribution — practice question
Ponds $A$ and $B$ each hold a very large population of fish. It is known that $2.4\%$ of the fish in pond $A$ are carp, while $1.8\%$ of the fish in pond $B$ are carp. Random samples of $50$ fish from pond $A$ and $60$ fish from pond $B$ are taken. Apply suitable Poisson approximations to determine the following probabilities.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Poisson means correctly found from $0.024\times50=1.2$ and $0.018\times60=1.08$” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI