4 Use the ratio test to determine if the series Exma - ov's k=1 an 1....

Transcribed Image Text:

4 Use the ratio test to determine if the series Exma - ov's k=1 an 1. cvg's or dvg's. k! 12=1 (Show all work) Q1. Record of 100 students reveals the following performance on Calculus I and Calculus II. Good Calculus Good 30 I Very Good 10 Calculus II b) Are events A and B independent? Very Good 30 30 Denote A as the event that a student achieves "good" in Calculus I, and B be the event that a student achieves "good" in Calculus II. a) Are events A and B mutually exclusive? c) How likely for a randomly selected student to be "good" in at least one of the two math courses? d) If a student has achieved "good" in Calculus I, how likely he also achieves "good" in Calculus II? 4 Use the ratio test to determine if the series Exma - ov's k=1 an 1. cvg's or dvg's. k! 12=1 (Show all work) Q1. Record of 100 students reveals the following performance on Calculus I and Calculus II. Good Calculus Good 30 I Very Good 10 Calculus II b) Are events A and B independent? Very Good 30 30 Denote A as the event that a student achieves "good" in Calculus I, and B be the event that a student achieves "good" in Calculus II. a) Are events A and B mutually exclusive? c) How likely for a randomly selected student to be "good" in at least one of the two math courses? d) If a student has achieved "good" in Calculus I, how likely he also achieves "good" in Calculus II?