Please use R code to solve.

A t-distributed random variable of k degrees of freedom is defined as Z th = VW/k where Z ~ N(0, 1) and W ~ xx, Z and W are independent. Using only the uniform number generator in R (runif), generate 100 random samples X, where X is a mixture t distribution, i.e., X ~ 0.3t3 + 0.35t5 + 0.35t7