In a college Statistics class room, the students in various class ranks and majo
ID: 3134281 • Letter: I
Question
In a college Statistics class room, the students in various class ranks and majors are distributed in the table as following:
Leaving your answers in fractions, find the following probabilities:
A) P (Business major AND Freshmen class) ----------------------
B) P(Nursing major Sophomore class) ---------------------
C) P (Sophomore class Nursing major) -------------------
D) P (Junior class English major) ----------------------
E) P (Junior class not Business major) ------------------
Explanation / Answer
A) P (Business major AND Freshmen class) = 13/61
B) P(Nursing major Sophomore class) = P(Nursing major AND Sophomore class)/P(Sophomore class)
= (6/61)/(16/61) = 6/16 = 3/8
C) P (Sophomore class Nursing major) = P(Sophomore AND Nursing major)/P(Nursing major)
= (6/61)/(21/61) = 6/21 = 2/7
D) P (Junior class English major) = P(Junior class AND English major)/P(English major)
= (2/61)/(13/61) = 2/13
E) P (Junior class not Business major) = P(Junior class AND not Business major)/P(Not Business major)
= ((5+2)/61)/((21+13))/61) = 7/34