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Calculate confidence intervals

In a study using 15 samples, and in which the population variance is unknown, the distribution that should be used to calculate confidence intervals is

A. a standard normal distribution.

B. a t distribution with 14 degrees of freedom.

C. a t distribution with 15 degrees of freedom.

D. a t distribution with 16 degrees of freedom.

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## Q : Joint probability density function of the random variables

Consider the following joint probability density function of the random variables x and y: f(x,y)= 3x-y/9 for 1<x<3 and 1<y<2