Solve the following:
Q1. The board of directors for the ABC investment Fund has 10 members. If 3 members of randomly selected to oversee the auditors, the probability that the 3 wealthiest members are selected is 1/120. Is this correct???
Q2. In Q1, if members are elected to the positions of chairperson, vice chairperson, and treasurer how many different slates are possible?
Q3. The EPA used a tailpipe test to determine which of 116,667 cars generated too much pollution. It is estimated that 1% of cars fail such a test. If 20 20 cars are randomly selected from the group of 116,667, How many are expected to fail the tailpipe test?
Q4. In Q3, if two different cars are randomly selected , the probability that they both fail the tailpipe test is 0.0001. Is this true?