Forty percent of patrons at Jay's Gym purchase year-long memberships and the rest purchase month-by-month memberships. 52% of year-long memberships are first purchased in the month of January, while 21% of month-by-month memberships are first purchased in January.
a. What percentage of gym memberships are first purchased in the month of January?
b. A patron purchases a membership in January. What is the probability it is a year-long membership?