In the Growmore Market Garden plants are inspected for the presence of the deadly red angus leaf

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In the Growmore Market Garden plants are inspected for the presence of the deadly red angus leaf bug. The number of bugs per leaf is known to follow a Poisson distribution with mean one. What is the probability that any one. leaf on a given plant will have been attacked (at least one bug is found on it)? A random sample of 12 plants is taken. For each plant ten leaves are selected at random and inspected for these bugs. If more than eight leaves on any particular plant have been attacked then the plant is destroyed. What is the probability that exactly two of these 12 plants. are destroyed? (AEB)

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