Below is a contingency table showing membership at a local gym based on gender a

Question

Below is a contingency table showing membership at a local gym based on gender and age group.

Round your answers to three decimal places.

a. What is the probability that a randomly selected gym member is male or 50 or more years of age?

Probability =

b. Given that a randomly selected gym member is female, what is the probability of being under 30 years of age?

Probability =

c. What is the probability that a randomly selected gym member is male and 50 or more years of age?

Probability =

Under 30 years 30-49 years 50 or more years Total Male 43 39 24 106 Female 37 40 29 106 Total 80 79 53 212

Explanation / Answer

a) P( gym member is male or 50 or more years of age)=P(gym member is male)+P(50 or more years of age)-P(gym member is male and 50 or more years of age) =(106+53-24)/212=0.6368

b) P(under 30 years of age | female)=P(female and under 30)/P(female)=37/106=0.3491

c) P(male and 50 or more years of age)=24/212=0.1132

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