5. An internet service provider charges its customers for the time of the internet use rounding...

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5. An internet service provider charges its customers for the time of the internet use rounding it up to the nearest hour. The joint distribution of the used time (X. hours) and the charge per hour (Y, cents) is given in the table below. Pr(x,y) 1 2 3 0 y I 1 2 3 4 0 0.06 0.10 0.06 0.10 0.10 0.04 0.04 0.10 0 0.40 Each customer is charged Z = X x Y cents, which is the number of hours multiplied by the price of each hour. Find the distribution of Z. 1 Taking information from the Problem 4, find the correlation coefficient between X and Y. 5. An internet service provider charges its customers for the time of the internet use rounding it up to the nearest hour. The joint distribution of the used time (X. hours) and the charge per hour (Y, cents) is given in the table below. Pr(x,y) 1 2 3 0 y I 1 2 3 4 0 0.06 0.10 0.06 0.10 0.10 0.04 0.04 0.10 0 0.40 Each customer is charged Z = X x Y cents, which is the number of hours multiplied by the price of each hour. Find the distribution of Z. 1 Taking information from the Problem 4, find the correlation coefficient between X and Y.