3. Mr. Stanley's super studious superb Statistics students collected information on their gender and handedness. The two-way table below gives the percents of the statistics students who fall into each category. Male Female Totals Right-handed .35 .3 65 Left-handed 15 . 2 35 Totals .5 . 5 If a student is chosen at random from the Statistics classes, what is the probability of a a. Student being female and right-handed? b . Student being female, if the student is right-handed? Must use probability statements. Must write out all conditionals in symbols and show what number is being divided by what number, before giving final probability. Take out to 3 decimal places c. Student being left-handed, if the student is a male? If there are 140 Statistics students, complete the two-way counts table below. Male Female Totals Right-handed Left-handed Totals d. How many are male and left-handed? Can you draw a tree diagram with correct probabilities to represent this situation? (optional for +5 points)