I need some help with this homework question which requires the use of the R program. I have attached a snip of the question and examples given

Problem #2: The probability density function of random variable X is , x(1 - x) for 0 S x - 1 and 0 otherwise. Do computations using the R integrate function. a) What is the probability that X > .5? b) What is the probability that .5 0.5) ## [1] 0.3125 1-integrate(f, 0, .5) $value #a another way ## [1] 0.3125 integrate(f, . 5, .75) #b ## 0. 2617188 with absolute error 1.5 C] b) Find the probability that 0.5