Question

Suppose 62% of the young men surveyed exercise on a daily basis, 48% play video games each day, and 22% do both.

(a) What percentage of young men exercise or play video games on a daily basis?

(b) What percentage of young men do not do either of these activities on a daily basis?

(c) Based on this survey, if a young man plays video games each day, what is the probability he exercises each day?

Answer 1

P(Exercise) = 0.62, P(Play vedio games) = 0.48.

P( Exercise and play video games) = 0.22

a)

P( Exercise or play video games) = P(Exercise) + P(Play vedio games)

- P( Exercise and play video games)

= 0.62 + 0.48 - 0.22

= 0.88

P( Exercise or play video games) = 88%

b)

P( do not do either activety) = 1 - P( Exercise or play video games)

= 1 - 0.88

= 0.12

= 12%

c)

P( exercise | Video games) = P( Exercise and play video games) / P(video games)

= 0.22 / 0.48

= 0.4583

= 45.83%