Stats and probability 3360 PROBLEM 2 [15POINTS = 5 + 5 + 51 A RANDOMLY SELECTED

Question

Stats and probability 3360 PROBLEM 2 [15POINTS = 5 + 5 + 51 A RANDOMLY SELECTED STUDENT ON CAMPUS HAS PASSED THE COLLEGE ALGEBRA COURSE [EVENT A OCCURRED] wrTH THE PROBABILITY OF 65%. IT IS ALSO KNOWN THAT 40% OF STUDENTS MAJOR IN BUSINESS [EVENT B OCCURS]. THE PROPORTION OF STUDENTS WHO DID NOT PASS THE COLLEGE ALGEBRA AND MAJOR IN BUSINESS [EVENT A DOES NOT OCCUR AND EVENT B 0CCURS] 157%. FIND ALL JOINT AND MARGINAL PROBABILITIES IN THE TABLE BELOW. MARGINAI 65% B OCCURS B DOES NOT OCCUR A OCCURS A DOES NOT OCCUR MARGINAL 790 | 40%

Explanation / Answer

Ans:

As Marginal probability should add upto 1,so

P(B does not occur)=1-0.6=0.4

P(A does not occur)=1-0.65=0.35

B occurs B does not occur Marginal A occurs 0.33 0.32 0.65 A does not Occurs 0.07 0.28 0.35 Marginal 0.4 0.6 1

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