(b) Given that the student selected is a economics major, what is the probabilit
ID: 2896425 • Letter: #
Question
(b) Given that the student selected is a economics major, what is the probability that he is also an senior?
(If necessary, consult a list of formulas.)
(a)
(b)
Suppose that a certain college class contains students. Of these, are seniors, are economics majors, and are neither. A student is selected at random from the class. (a) What is the probability that the student is both a senior and an economics major?(b) Given that the student selected is a economics major, what is the probability that he is also an senior?
Write your responses as fractions.(If necessary, consult a list of formulas.)
(a)
(b)
Explanation / Answer
total students = 43
senior students = 28
economics students = 26
neither = 6
probability of senior = 28/43
probability of economics major = 26/43
probability of ( senior or economics major) = (43-6)/ 43 = 37/43
total probability would be
28/43+26/43 -37/43 = 17/43
b) given that student selected is economics major
probability that he is a senior is
prob ( senior | econ major ) = prob ( senior and econ) / prob (econ) = 17/43 / 26/43 = 17/26
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