stuck with homework problem

Problem 1: Please use composition methods introduced in class to answer the following subproblems. Assume we are only allowed to generate u N Uni f (0, 1) (use runif() only). Write R code to generate 10,000 random samples from tdistribution with 10 degrees of freedom and plot a histogram. Hint 1: Note if U ~ Unif[0, 1] and V ~ Unif[0, 1] are independent random variables, then ZI = V(-2log(U))cos(2x V) and Zz = V(-2log(U))sin(2x V) are independent standard normals. Hint 2: Note the following identity If Z ~ N(0, 1), then V = Zz ~~ x? Hint 3: Note the following identity S = )_ Z ~ xm Hint 4: Note the following identity If Z ~ /(0, 1) and V ~ x7 are independent, then T = - Z V(Vin) is a t distribution with n df. Hint 5: Compare your results to that of rt(10000,10). If the distribution looks similar (it is probably going to look very slightly different), then you've done the problem correctly