1. If P (A and B) 5 0.4 and P (B) 5 0.8, find P (A | B). 2. If P (A) 5 0.7, P (B) 5 0.6, and A and B

1. If P (A and B) 5 0.4 and P (B) 5 0.8, find P (A | B). 2. If P (A) 5 0.7, P (B) 5 0.6, and A and B are statistically independent, find P (A and B). 3. If P (A) 5 0.3, P (B) 5 0.4, and P (A and B) 5 0.2, are A and B statistically independent? a. What is the probability that a randomly selected person is female? b. What is the probability that a randomly selected male is not employed? c. Suppose you know that a person is employed full-time. What is the probability that they are female? d. Are the two events ‘employed full-time’ and ‘female’ statistically independent? Explain. e. What is the probability that a randomly selected person is a male in full-time employment? f. The unemployment rate is defined as the percentage of the labour force that is unemployed and either looking for fulltime work or not looking for full-time work. What is the unemployment rate for males, females and overall? g. The participation rate is defined as the percentage of the civilian population in the labour force, either employed or unemployed. What is the participation rate for males, females and overall? May 22 2022 08:52 AM

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