During a year ending July 31 of that year, there were approximately 6.2 million sales of existing homes in the United States, of which 1.5 million were sold in the West. During July of that year there were a total of 540,000 existing homes sold in the United States, of which 140,000 were sold in the West. (Round your answers to two decimal places.)

(a)

Find the probability that a home sale in the year ending July 31 of that year, took place in the West, given that the home was sold during July of that year.

(b)

Find the probability that a home sale in the year ending July 31 of that year, took place in July of that year, given that it took place in the West.