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Answer the following questions using R (include both the input and output for each question). I) A...

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Statistics

Answer the following questions using R (include both the inputand output for each question).

I) A random variable P has a Poisson distribution with a mean of10. Solve for the probability that random variable P is greaterthan 8.

II) What is the probability that in 30 tosses of a fair coin,the head comes up 10 or 15 times?

III) What is the probability that a normal random variable isless than 40, assuming that it has a mean of 33 and a variance of36?

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