In an October 2013 poll conducted by Pew Research 375 Americ

In an October 2013 poll conducted by Pew Research, 375 Americans were college graduates who had taken out student loans to pay for their college education. The table below summarizes the amount of debt for each of these respondents. If a student is randomly chosen from the 378 respondents, find the following probabilities. Round answers to four decimal places. The student borrowed under $10,000. The student is a male who borrowed be-tween $10,000 and $20,000. The student is a female who borrowed over $30,000. The student is a or the student borrowed-over $40,000. The student is a female or the student borrowed between $20,000 and $30.000.

Solution

15) The number of students who borrowed less than 10K = number of male who borrowed less than 10k + number of female who borrowed less than 10k

=> 39 + 54 = 93

P(event) = Favorable outcomes/Total outcomes = 93/378 = 0.2460

16) Number of male who borrowed between 10k-20k = 58

P(event) = Favorable outcomes/Total outcomes = 58/378 = 0.1534

17) Number of females who borrowed over 30k = number of female who borrowed 30k-40k + number of female who borrowed more than 40k

=> 12 + 37 = 49

P(event) = 49/378 = 0.1296

18) Student is a male or has borrowed more than 40k

Number of favorable outcomes = 198 + 37 = 235

P(event) = 235/378 = 0.62169

19) Student is a female or borrowed 20k-30k

Number of favorable outcomes = 180 + 29 = 209

P(event) = 209/378 = 0.5529