another homework question here. Let 𝑌 be a binomial random variable with 10 number of trials and 0.2 probability of success. Let X be a uniformly distributed random variable over the interval [0, 3]. If 𝑋 and 𝑌 are independent, what is the probability that 𝑋 > 2 and 𝑌 = 2? What is the probability that 𝑋 > 2 conditioning on 𝑌 = 2?
I already found the probability of X > 2 and Y = 2, which is 5/6 and 0.3020 respectively. Would greatly appreciate hints and thought processes to do this question.