2. [10 points] The percentages of workers in Industries A and B whose annual salaries fall below $20,000 are 54% and 40% respectively. Suppose a random sample of 100 workers were obtained from each industry. Calculate: (a) The probability that at least half of the 100 workers from Industry A earn less than $20,000. (b) The probability that there are more workers from the 100 Industry A sample than the 100 Industry B sample who earn less than $20,000