Upper classmen are classified as juniors or seniors. Lower classmen are classifi

Question

Upper classmen are classified as juniors or seniors. Lower classmen are classified as freshman or sophomores. A survey was given in an undergraduate economics class, of which 34% of the students are upper classmen. One question asked whether the student had graduated from an Indiana high school. Among the upperclassmen, 31% of stated that they graduated from an Indiana high school. Among the lower classmen, 45% did NOT graduate from an Indiana high school.

a) What is the probability that a randomly chosen student from this economics class is a lower classman and graduated from an Indiana high school?

b) What is the probability that a randomly chosen student from this economics class did NOT graduate from an Indiana high school?

Explanation / Answer

a) P(Lower classman and graduated from an Indiana high school) = (1-0.34)*(1-0.45) = 0.363

b) P(did NOT graduate from an Indiana high school) = 0.34*0.69+0.66*0.55 = 0.5976

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

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