9 . The number of goals scored in a randomly selected match by a football team follows a Poisson distribution with mean 3.3 .
( a ) Find the probability that less than three goals are scored in a particular match .
[ 2 ] ( b ) Find the probability that exactly ten goals are scored in three randomly selected matches . [ 2 ]
( c ) Given that in three randomly selected matches more than nine goals are scored , find the probability that less than fourteen goals are scored .
[ 3 ]
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