Question #2 [6 pts] One hundred shoppers at a local shopping mall were categorized by age...

Transcribed Image Text:

Question #2 [6 pts] One hundred shoppers at a local shopping mall were categorized by age and gender as shown in the frequency distribution below. One shopper is selected at random from that group of 100 shoppers. Under 25 years Age Group 25 - 40 years Over 40 years Gender Male (M) (A1) (A2) (A3) Total 15 13 12 40 Female (F) Total 24 18 18 60 39 31 30 100 a) If the randomly selected shopper is male, what is the probability that he is under 25 years of age? b) What is the probability that the randomly selected shopper is female or over 40 years of age? c) Are gender of the shopper and age independent events? Justify. Question #2 [6 pts] One hundred shoppers at a local shopping mall were categorized by age and gender as shown in the frequency distribution below. One shopper is selected at random from that group of 100 shoppers. Under 25 years Age Group 25 - 40 years Over 40 years Gender Male (M) (A1) (A2) (A3) Total 15 13 12 40 Female (F) Total 24 18 18 60 39 31 30 100 a) If the randomly selected shopper is male, what is the probability that he is under 25 years of age? b) What is the probability that the randomly selected shopper is female or over 40 years of age? c) Are gender of the shopper and age independent events? Justify.