Please solve in R fprograming language

Given a vector X that contains integers and another vector Y of equal length that contains a mixed sequence of "a"s and "b"s only: (i) compute the vector whose 1st entry is the mean of those entries in X corresponding to " a " in Y, and the 2nd entry is the mean of those entries in X corresponding to " b " in Y. (ii) determine if there is at least one entry of X among those corresponding to "a" in Y that is greater than the mean of X. (5) Find an equivalent statement for x