According to a popular polling agency, 54% of adults who post news on a particul

Question

According to a popular polling agency, 54% of adults who post news on a particular social media site are less than 30 years old. But according to the national census, only 21% of adults are less than 30 years old. A separate survey (by the same agency) found that 15% of adults post to the social media site in question. Complete parts a and b below. a) Find the probability that a random adult is both less than 30 years old and uses this social media site. That is, find P(Social and less than<30). P(Social and less than<30)equals=nothing (Round to four decimal places as needed.) b) For a random young (less than<30) adult, what is the probability he or she uses this social media site? That is, find P(Social less than<30). P(Social |less than<30)equals=nothing (Round to four decimal places as needed.)

Explanation / Answer

Ans:

Given that

P(less than 30/post on social media)=0.54

P(less than 30)=0.21

P(post on social media)=0.15

a)P(post on social median and less than 30)=P(less than 30/post on social media)*P(post on social media)

                                                                =0.54*0.15

                                                                =0.0810

b)P(post on social media/less than 30)=P(post on social media and less than 30)/P(less than 30)

                                                        =0.0810/0.21

                                                        =0.3857

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