1. The republican governor of a state with no income tax is appointing a committee of four members to consider changes i

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1. The republican governor of a state with no income tax isappointing a committee of four members to consider changes in theincome tax law. There are 15 state representatives available forappointment to the committee, seven Democrats and 8 Republicans.One of the 8 Republicans is Mr. R, who is a friend of the governor.Assume that the governor selects the committee of four membersrandomly from the 15 representatives. What is theprobability that three Republicans including Mr. R is appointed tothe committee?
2. One important finding of a recent study was that 5% ofchildren with nonsmoking parents had episodes of pneumonia in thefirst year of life, whereas, 10% of children with one smoking parentand 20% of children with two smoking parents had such an episode.Suppose that in the general population both parents are smokers in20% of the households, one parent smokers in 30% of households, andneither parent smokers in 50% of households. What is theprobability that a randomly selected newborn will have pneumonia inthe first year of life?