A study was conducted to see the number of pets who were overweight. The results are in the following table:

Overweight status	yes	no
pet group
dogs	50	70
hamsters	28	22
cats	34	26

a) [5 points] Calculate the marginal distribution for pets and the marginal distribution for overweight status. b) [3 points] Calculate the conditional distributions of overweight status given pet group. c) [3 points] Calculate the conditional distributions of pet group given overweight status. d) [5 points] Draw a bidimensional bar graph (by hand) to visualize the conditional distribution of overweight status given pet group. Put the pet group on the x-axis. Question 2 [10 Points] What type of sampling technique was used in the following scenario