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Question 2) The density of random variable X is f(x) = 15(x2−36)(64−x2) / 3904 for 6...

Question 2) The density of random variable X is f(x) = 15(x2−36)(64−x2) / 3904 for 6 ≤ x ≤ 8 and 0 otherwise. Do computations using the R integrate function.


a) Find the probability that X > 7:

b) Find the probability that 6.5 < X < 7.5:

e) Find the probability that x is within one standard deviation of its expected value:

f) In the following paste your R script for this problem:

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