Question

Calculate the expected number for Poisson distribution question: The number of questions that the lecturer sets...

Calculate the expected number for Poisson distribution question:

The number of questions that the lecturer sets for each online quiz has a Poisson distribution with a rate of λ=9

Each question is a multiple choice with 5 choices of which just one is correct. A student decided to randomly guess the answer.

Calculate the expected number of correct questions the student get on a quiz to one decimal place.

The answer to this question should be between 1.7 and 1.9, please show steps in how to get this value, and if rate λ changes how should I deal with it

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