According to a recentreport, 30% of new businesses in 2013 were started by women and 70% of new businesses in 2013 were started by men. In2013, 30% of new businesses started by women had revenues of$50,000 andabove, whereas 35% of new businesses started by men had revenues of$50,000 and above. Complete parts(a) and(b) below.

a. If a new business started in 2013 is selected at random and the new business had revenues of$50,000 andabove, what is the probability that the new business was started by awoman?

(Round to three decimal places asneeded.)