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In: Statistics and Probability

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

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

I) A random variable P has a Poisson distribution with a mean of 10. Solve for the probability that random variable P is greater than 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 is less than 40, assuming that the variable has a mean of 33 and a variance of 36?

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