You are investigating the relationship between the ages of U.S. adults and what

Question

You are investigating the relationship between the ages of U.S. adults and what aspect of career development they consider to be the most important. You randomly collect the data shown in the table.

You randomly select a surveyed individual. Find the probability that

a) The person is in 18-26 years age group or says learning new skills is the most valuable.

b) The person considered pay increases as the most important and is 41 years old or less.

c) The person considered learning new skills as the most important given that he or she is 18-26 years old.

d) Are any of these events considered unusual?

Learning new Skills Pay Increases Career Path 18-26 years 31 22 21 27-41 years 27 31 33 41-61 years 19 14 8

Explanation / Answer

a) P(the person is in 18-26 years age group or says learning new skills is the most valuable)

= (31+22+21+27+19)/(31+22+21+27+31+33+19+14+8)

= 120/206 = 0.5825

b) P(the person considered pay increases as the most important and is 41 years old or less) = (22+31)/206

= 0.2573

c) P(the person considered learning new skills as the most important given that he or she is 18-26 years old)

= 31/(31+22+21)

= 0.4189

d) None of the events in part a or b or c are unusual as the probability of all those events are above 0.05

P(a person is 41-61 years old and says career path is most important) is unusual because the probability of such an event is 8/206 = 0.0388, which is less than 0.05

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.