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3. A t-distributed random variable of k degrees of freedom is defined as Z the = /W/k where Z ~ N(0, 1) and W ~
3. A t-distributed random variable of k degrees of freedom is defined as Z the = /W/k where Z ~ N(0, 1) and W ~ x2, 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 + 0.35ts + 0.35t7
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