The number of goals scored per match by Everly Rovers is represented by the random variable $X$ which has mean 1.8.
a) State two conditions for $X$ to be modelled by a Poisson distribution. Assume now that $X \sim Po\left( {1.8} \right)$.
b) Find $P\left( {2 \lt X \lt 6} \right)$.
c) The manager promises the team a bonus if they score at least 1 goal in each of the next 10 matches. Find the probability that they win the bonus.
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