„Two thousand randomly selected adults were asked if they are in favor of or against cloning. The llowing table gives the responses. In Favor Against No Opinion Male 395 405 100 Female 300 680 120 a. If one person is selected at random from these 2000 adults, find the probability that this person is i. in favor of cloning ii. against cloning iii. in favor of cloning given the person is a female iv. a male given the person has no opinion b. Are the events “male" and “in favor" mutually exclusive? What about the events “in favor" and "against?" Why or why not? c. Are the events “female" and “no opinion" independent? Why or why not?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Two thousand randomly selected adults were asked if they are in favor of or Against cloning. The following table gives the responses......

 

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please answer part b and c

|Two thousand randomly selected adults were asked if they are in favor of or against cloning. The
following table gives the responses.
In Favor
Against
No Opinion
Male
395
405
100
Female
300
680
120
a. If one person is selected at random from these 2000 adults, find the probability that this person is
i. in favor of cloning
ii. against cloning
iii. in favor of cloning given the person is a female
iv. a male given the person has no opinion
b. Are the events "male" and “in favor" mutually exclusive? What about the events “in favor" and
"against?" Why or why not?
c. Are the events “female" and “no opinion" independent? Why or why not?
Transcribed Image Text:|Two thousand randomly selected adults were asked if they are in favor of or against cloning. The following table gives the responses. In Favor Against No Opinion Male 395 405 100 Female 300 680 120 a. If one person is selected at random from these 2000 adults, find the probability that this person is i. in favor of cloning ii. against cloning iii. in favor of cloning given the person is a female iv. a male given the person has no opinion b. Are the events "male" and “in favor" mutually exclusive? What about the events “in favor" and "against?" Why or why not? c. Are the events “female" and “no opinion" independent? Why or why not?
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