Question
Please provide step by step solutions, thanks!! : The biology department plans to recruit a new faculty member. Data collected by a different university on
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?
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