MAT311 chapter three homework
1. The table shows the number (in thousands) of earned degrees, by level and gender, conferred in the United States in a recent year.
Male Female Total
Associate's 361 581 942
Bachelor's 734 982 1716
Master's 292 439 731
Doctoral 80 84 164
Total 1467 2086 3553
A person who earned a degree in the year is randomly selected. Find the probability of selecting someone who:
a. Earned a bachelor's degree
1716/3553 = 0.4830
b. Earned a bachelor's degree, given that the person is a female.
982/2086 = 0.4708
c. Earned a bachelor's degree, given that the person is not a female.
734/1467 = 0.5003
d. Earned an associate's degree or a bachelor's degree.
(942/3553) + (1716/3553) = 0.2651 + 0.4830 = 0.7481
e. Earned a doctorate, that the person is a female.
84/206 = 0.4078
f. Earned a master's degree or is a male.
(731/3553) + (1467/3553) - (292/3553) = 0.2057 + 0.4129 - 0.0822 = 0.5363
g. Earned an associate's degree or is a male.
(942/3553) + (1467/3553) - (361/3553) = 0.2651 + 0.4129 - 0.1016 = 0.5674
h. Is a female, given the person earned a bachelor's degree?
982/1716 = 0.5723
i. Which events are considered unusual? Explain your reasoning.