3 Exercise 3 The following table lists the joint probabilities of achieving grad
ID: 3358965 • Letter: 3
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3 Exercise 3 The following table lists the joint probabilities of achieving grades of A and not achieving grades of A in two math courses Gets an Ain discrete mathDoesn't get Ain discrete math Gets Ain multivariate calculus Doesn't get A in multivariate calculus 0.053 0.237 0.130 0.580 a) Define two relevant events. b) What is the probability that a student achieves a grade of A in discrete math? c) What is the probability that a student achieves a grade of A in discrete math, given that she does not achieves a grade of A in multivariate calculus? d) Are achieving grades of A in discrete math and multivariate calculus independent events? Explain.Explanation / Answer
a) Event A- Achieve Grade A in Discrete math
Event B - Achieve Grade A in Multivariate Calculus
b) P( Achieve Grade A in Discrete math) = 0.053+0.237 = 0.290
c) P( Achieve Grade A in Discrete math/Not acheive Grade A in multivariate calculus ) = 0.237/(0.237+0.580) = 0.290086
d) They are not independent events because Probability of one event does depend on the other
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