Question

1. The table shows the estimated number (in thousands) of earned degrees conferred in the U.S. in the year

     2004 by educational level and gender.                                                                                                       

	Male	Female	Total
Associate	231	400
Bachelor’s	553	769
Master’s	197	270
Doctorate	25	20
Total			2465

   

Fill in the marginal distributions above.   

1. What is the probability that a randomly selected graduate earned a Master’s degree?   
2. What is the probability that a randomly selected graduate earned an Associates or Bachelor’s degree?   
3. What is the probability that a randomly selected graduate was a male and earned an Associate’s degree?   
4. Given that a randomly selected graduate is a female, what is the probability that she earned a Doctorate degree?

Answer 1

Complete table:

a) P(master's) = 467/2465 = 0.1895 (rounded to 4 decimal places)

b) P(Associates or Bachelor's) = (631 + 1322)/2465 = 1953/2465 = 0.7923 (rounded to 4 decimal places)

c) P(Male and Associates) = 231/2465 = 0.0937 (rounded to 4 decimal places)

d) P(doctorate | Female) = 20/1459 = 0.0137 (rounded to 4 decimal places)

I put the exact as well as approx answers both.

Hope this will help. Thank you.