How much you smile in your younger days can predict your later success in marriage (msnbc.com, April 16, 2009). The analysis is based on the success rate in marriage of people over age 65 and their smiles when they were only 10 years old. Researchers found that only 11% of the biggest smilers had been divorced, while 31% of the biggest frowners had experienced a broken marriage.
a. Suppose it is known that 2% of the people are the biggest smilers at age 10 and divorced in later years.
What percent of people are the biggest smilers?
b. If 25% of people are considered to be the biggest frowners, calculate the probability that a person is the biggest frowner at age 10 and divorced later in life.