A survey of 1,520 Americans adults asked “Do you feel overloaded with too much information?” The results indicated that of 785 males, 134 answered yes. Of 735 females, 170 answered yes.

Source: Data extracted from “Information Overload,” pewrsr.ch/2h2OSQP.

a. Suppose that the respondent chosen is a female. What is the probability that she felt overloaded with too much information?

b. Suppose that the respondent chosen does indicate that he/she feels overloaded with too much information. What is the probability that the individual is a male?

c. Are overload with too much information and the gender of the individual independent? Explain.