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The number of radioactive particles per millisecond arriving at a counter is a Poisson random variable with average 10. Each particle is detected with 90%

The number of radioactive particles per millisecond arriving at a counter is a Poisson random variable with average 10. Each particle is detected with 90% probability, independently of one another and independently of the number of particles. Compute the expectation and the variance of Y, the number of detected particles per millisecond. What kind of a variable is Y

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