- The number of particles per millilitre in a solution is modelled by a Poisson distribution with mean 0.15
A randomly selected 50 millilitre sample of the solution is taken.
- Find the probability that
- exactly 10 particles are found,
- between 6 and 11 particles (inclusive) are found.
Petra takes 12 independent samples of \(m\) millilitres of the solution.
The probability that at least 2 of these samples contain no particles is 0.1184
- Using the Statistical Tables provided, find the value of \(m\)