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Problem 3: In a certain population, 21% like Drake but don’t like the Chainsmokers (Drake and...

Problem 3: In a certain population, 21% like Drake but don’t like the Chainsmokers (Drake and the Chainsmokers are pop artists), 52% like the Chainsmokers, and 31% like Drake. a) (2 points) What is the probability of randomly selecting someone who likes Drake? b) (2 points) What is the probability of randomly selecting someone who likes Drake given that the selected individual does not like the Chainsmokers? c) (2 points) What is the probability of randomly selecting five individuals (with replacement) and finding that they all like the Chainsmokers? d) (2 points) What is the probability of randomly selecting 25 individuals (with replacement) and finding that at most 4 of them like the Chainsmokers?

Math   Statistics-And-Probability   
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Answer #1

a)probability of randomly selecting someone who likes Drake=0.31

b)P(not like chainsmokers)=1-P(like chainsmokers)=1-0.52 =0.48

probability of randomly selecting someone who likes Drake given that the selected individual does not like the Chainsmokers

=P(like drake and not like Chainsmokers)/P(not like chainsmokers)

=0.21/0.48=0.4375

c)

probability of randomly selecting five individuals (with replacement) and finding that they all like the Chainsmokers =(0.52)5 =0.03802

d)

probability of randomly selecting 25 individuals (with replacement) and finding that at most 4 of them like the Chainsmokers =P(X<=4)= =0.000223

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