Question

4.49 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 Female 395 300 405 680 100 120 

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? 

4.75 The following table gives a two-way classification of all basketball players at a state university who began their college careers between 2004 and 2008, based on gender and whether or not they graduated. Graduated Did Not Graduate 55 Male Female 126 133 32 

a. If one of these players is selected at random, find the following probabilities. 

i. P(female and graduated) 

ii. Pimale and did not graduate) 

b. Find P(graduated and did not graduate). Is this probability zero? If yes, why?

Answer 1

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