Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

The graph of the probability density function for the random variable $X$ is symmetric around the line $x = 4$.
(main)[2]

If $P(X < 5) = \frac{20}{27}$, Find $P(3 < X < 5)$.

Worked solution & mark scheme

This 2-mark question has a full step-by-step worked solution and mark scheme. One marking point: A suitable probability expression is $1-\frac{20}{27}$ or $\frac{20}{27}-\frac12$ or $\frac{20}{27}\left(1-\frac{20}{27}\right)$.

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI