Please provide step by step solutions, thanks!! :

The biology department plans to recruit a new faculty member. Data collected by a different university on the 410 possible candidates are available. The biology department is debating whether to put a requirement of 10 years of teaching experience in the job advertisement. The available data on the candidates are shown below.

Experience:

Less than 10 years 10 or more years Total

Male 178 112 290

Female 99 21 120

Total 277 133 410

a.What is the probability that a candidate has less than 10 years' experience?

b.What is the probability that a candidate is female?

c.Given that a candidate is female, what is the probability that a candidate has less than 10 years' experience?

d.Are the events A = {candidate is female} and B = {candidate has less than 10 years' experience} independent? How do we know?