You believe that there is a 20% chance that you will earn an A in your English c

Question

You believe that there is a 20% chance that you will earn an A in your English class, a 10% chance that you will earn an A in your Chemistry class, and a 5% chance that you will earn an A in both classes. Let E = A in English, C = A in Chemistry, and B = A in both. Use the defined events and proper notation to complete parts A through C below. Justify your answers to parts B and C with an appropriate equation (not just words). a Find the probability that you do not get an A in either English or Chemistry. b) Are "earning an A in English" and "earning an A in Chemistry" disjoint events? Explain. b) Are "earning an A in English" and "earning an A in Chemistry" independent events? Explain.

Explanation / Answer

a) P(E U C)' = 1 - P(EUC)

= 1 - P(E) - P(C) + P(E and C)

= 1 - 0.20 - 0.10 + 0.05 = 0.75

b) P(E and C) = 0.05 ,it is not equal to zero

So, A and E are not disjoint events

c) P(E) . P(C) = 0.20*0.10 = 0.02, it not equal to P(A and B) = 0.05

So A and E are not independent events

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.