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 the variable has a mean of 33 and avariance of 36?