Of 20 rats in a cage, 12 are males and 9 are infected with a virus that causes hemorrhagic fever. Of the12 male rats, 7 are infected with the virus. One rat is randomly selected from the cage,(a) If the selected rat is found to be infected, what is the probability that it is a female?(b) If the selected rat is found to be a male, what is the probability that it is infected?(c) Are the events "the selected rat is infected" and “the selected rat is male" independent? Why orwhy not?

Of 20 rats in a cage, 12 are males and 9 are infected with a virus that causes hemorrhagic fever. Of…

Answered: (a) If the selected rat is found to be…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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(a) If the selected rat is found to be infected, what is the probability that it is a female? (b) If the selected rat is found to be a male, what is the probability that it is infected? (c) Are the events "the selected rat is infected" and "the selected rat is male" independent? Why or why not?