Let (X1,Y1),(X2,Y2),dots,(X10,Y10) be a random sample from a bivariate normal distribution BVN(mu1,mu2,sigma1^2,sigma2^2,rho) with mu1=5, mu2=6, sigma1^2=4, sigma2^2=9 and rho=tfrac12. Then, which of the following statements are true?

Q108Section C (Part C)108 of 120

Sampling distributions built from a bivariate normal sample

Let $(X_1,Y_1),(X_2,Y_2),\dots,(X_{10},Y_{10})$ be a random sample from a bivariate normal distribution $\mathrm{BVN}(\mu_1,\mu_2,\sigma_1^2,\sigma_2^2,\rho)$ with $\mu_1=5$ , $\mu_2=6$ , $\sigma_1^2=4$ , $\sigma_2^2=9$ and $\rho=\tfrac12$ . Then, which of the following statements are true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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