The Office of Admissions and Records of a large western univ

The Office of Admissions and Records of a large western university released the accompanying information concerning the contemplated majors of its freshman class. (Round your answers to three decimal places.)

(a) What is the probability that a student selected at random from the freshman class is a female?

(b) What is the probability that a business student selected at random from the freshman class is a male?

(c) What is the probability that a female student selected at random from the freshman class is majoring in business?

Major	% of Freshmen Choosing This Major	% of Major That Is Female	% of Major That Is Male
Business	22	31	69
Humanities	7	60	40
Education	6	68	32
Social science	10	59	41
Natural sciences	6	50	50
Other	49	53	47

Consider the table:

From the table,

P(freshman and female) = 50.03% or 0.5003 [answer]

**************

P(male) = 1 - P(freshman and female) = 0.4997 [answer]

**************

P(business|female) = P(business and female) / P(female) = 0.1518/0.5003 = 0.303417949 [answer]

Major	%freshman	%male	%female	%freshman and male	%freshman and female
Business	22	31	69	6.82	15.18
Humanities	7	60	40	4.2	2.8
Education	6	68	32	4.08	1.92
Social science	10	59	41	5.9	4.1
Natural sciences	6	50	50	3	3
Other	49	53	47	25.97	23.03
			Total	49.97	50.03

The Office of Admissions and Records of a large western university released the accompanying information concerning the contemplated majors of its freshman clas

The Office of Admissions and Records of a large western univ

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