Reference no: EM132674912

A survey was conducted with 500 participants on how often people cooked their meals at home. The results are displayed in the contingency table below:

Meals Cooked at Home (Days Per Week)

Age (Years)

0-1 2-3 4-5 6-7 Total
Under 30 45 50 20 10 125
30 to under 40 15 25 30 20 90
40 to under 50 10 20 45 50 125
50 or more 10 15 65 70 160
Total 80 110 160 150 500

a) What is the probability that a participant selected at random will cook at home 2-3 days a week or 4-5 days a week? Which rule of addition or multiplication did you apply?

b) What is the probability that a participant selected at random will cook at home 4-5 days a week or be from 40 to under 50 years old? Which rule of addition or multiplication did you apply?

c) Given that a participant cooks 2-3 days a week, what is the probability that they are under 30 years old?