Please answer these questions

Prob/Stat Name Period: Homework Assignment 1) Figure below shows the counts of earned degrees for several colleges on the East Coast. The level of degree and the gender of the degree recipient were tracked. Row & Column totals are included. Bachelor's | Master's Professional | Doctorate Total Female 542 128 714 Male 438 165 661 Total 980 293 1375 a) What is the probability that a randomly selected degree recipient is a female? b) What is the probability that a randomly chosen degree recipient is a man? c) What is the probability that a randomly selected degree recipient is a woman, given that they received a Master's Degree? d) For a randomly selected degree recipient, what is P(Bachelor's Degree Male)? 2) The table below shows the probability breakdown of ages and genders for the typical American college student. Each value in the table is given as a probability. For example, there is a 12% chance that a randomly selected college student will be a male between 25 and 34 years old. 14-17 18-24 25-34 >34 Male 01 .30 .12 04 Female .01 30 13 09 a) What is the probability that a randomly selected American college student is female? b) What is the probability that a randomly selected American college student is female given that the student is more than 34 years old? c) What is the probability that a randomly selected college student is either a female of more than 34 years old