A marketing company conducted a study where women and men were asked to express a preference for one of two commercials-A or B-for the new iPhone XS. For the women, 44 out of 100 preferred commercial A. For the men, 79 out of 140 preferred commercial B.

(a)  For these data, do you want to consider one of these categorical variables as an independent variable and the other as a response variable? Give a reason for your answer.

(b)  Display these data using an r x c table. What are the values of r and c? Which variable is the column variable and which is the row variable? Give a reason for your choice.

(c)  How many cells does the table have?

(d)  Explain the difference between joint distribution, marginal distribution, and conditional distribution.