Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1)Answer the questions based on the following probability table: 0.45 0.15 0.15

ID: 3058490 • Letter: 1

Question

1)Answer the questions based on the following probability table: 0.45 0.15 0.15 a) Compute the following probabilities i) P(B) ii) P[AUB) b)Are events A, B mutually exclusive? Explain c) Are events A, B independent? Explain. 2) For events A, B, it is given that P(A)-0.12, PB)-0.25. Event A and Event B are mutually exclusive. Compute a) b) AUB 3)For events A, B, it is given that PA) 0.12, PB- 0.25. Event A and Event B are independent. Compute: In certain college, 17% students are taking a Chemistry class. 16% students are taking a Biology class, 24% students are taking Chemistry class or Biology class. If one student is taken at random from the college, find the probability that the student is: a)taking Chemistry class and Biology class b)taking Chemistry class but not Biology class c)taking Chemistry class or Biology class but not both. d) Give a Venn Diagram to summarize the information. Note: you can do part a and d together first, and then use it for part b and part c.

Explanation / Answer

1)Answer the questions based on the following probability table: 0.45 0.15 0.15 a) Compute the following probabilities i) P(B) ii) P[AUB) b)Are events A, B mutually exclusive? Explain c) Are events A, B independent? Explain. 2) For events A, B, it is given that P(A)-0.12, PB)-0.25. Event A and Event B are mutually exclusive. Compute a) b) AUB 3)For events A, B, it is given that PA) 0.12, PB- 0.25. Event A and Event B are independent. Compute: In certain college, 17% students are taking a Chemistry class. 16% students are taking a Biology class, 24% students are taking Chemistry class or Biology class. If one student is taken at random from the college, find the probability that the student is: a)taking Chemistry class and Biology class b)taking Chemistry class but not Biology class c)taking Chemistry class or Biology class but not both. d) Give a Venn Diagram to summarize the information. Note: you can do part a and d together first, and then use it for part b and part c.